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Finding the Fourth Proportional to 8,030.24, 12,098.88 and 7,251.12

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Solution

The fourth proportional to 8,030.24, 12,098.88 and 7,251.12 is: 10,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.24 : 12,098.88 = 7,251.12 : x
  2. Step 2: Convert to fraction form
    8,030.24/12,098.88 = 7,251.12/x
  3. Step 3: Cross multiply
    8,030.24x = 12,098.88 × 7,251.12
  4. Step 4: Simplify right side
    8,030.24x = 87,730,430.75
  5. Step 5: Solve for x
    x = 87,730,430.75/8,030.24
  6. Step 6: Final answer
    x = 10,925.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.