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Finding the Fourth Proportional to 10,099.52, 15,129.12 and 8,023.04

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Solution

The fourth proportional to 10,099.52, 15,129.12 and 8,023.04 is: 12,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.52 : 15,129.12 = 8,023.04 : x
  2. Step 2: Convert to fraction form
    10,099.52/15,129.12 = 8,023.04/x
  3. Step 3: Cross multiply
    10,099.52x = 15,129.12 × 8,023.04
  4. Step 4: Simplify right side
    10,099.52x = 121,381,534.92
  5. Step 5: Solve for x
    x = 121,381,534.92/10,099.52
  6. Step 6: Final answer
    x = 12,018.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.