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Finding the Fourth Proportional to 10,229.04, 15,351.12 and 7,624.08

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Solution

The fourth proportional to 10,229.04, 15,351.12 and 7,624.08 is: 11,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.04 : 15,351.12 = 7,624.08 : x
  2. Step 2: Convert to fraction form
    10,229.04/15,351.12 = 7,624.08/x
  3. Step 3: Cross multiply
    10,229.04x = 15,351.12 × 7,624.08
  4. Step 4: Simplify right side
    10,229.04x = 117,038,166.97
  5. Step 5: Solve for x
    x = 117,038,166.97/10,229.04
  6. Step 6: Final answer
    x = 11,441.75

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