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Finding the Fourth Proportional to 10,862.24, 14,996.67 and 7,465.10

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Solution

The fourth proportional to 10,862.24, 14,996.67 and 7,465.10 is: 10,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.24 : 14,996.67 = 7,465.10 : x
  2. Step 2: Convert to fraction form
    10,862.24/14,996.67 = 7,465.10/x
  3. Step 3: Cross multiply
    10,862.24x = 14,996.67 × 7,465.10
  4. Step 4: Simplify right side
    10,862.24x = 111,951,678.71
  5. Step 5: Solve for x
    x = 111,951,678.71/10,862.24
  6. Step 6: Final answer
    x = 10,306.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.