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Finding the Fourth Proportional to 15,263.64, 22,856.58 and 7,452

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Solution

The fourth proportional to 15,263.64, 22,856.58 and 7,452 is: 11,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,263.64 : 22,856.58 = 7,452 : x
  2. Step 2: Convert to fraction form
    15,263.64/22,856.58 = 7,452/x
  3. Step 3: Cross multiply
    15,263.64x = 22,856.58 × 7,452
  4. Step 4: Simplify right side
    15,263.64x = 170,327,234.16
  5. Step 5: Solve for x
    x = 170,327,234.16/15,263.64
  6. Step 6: Final answer
    x = 11,159.02

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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.