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Finding the Fourth Proportional to 10,972.71, 15,130.33 and 7,429.77

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Solution

The fourth proportional to 10,972.71, 15,130.33 and 7,429.77 is: 10,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.71 : 15,130.33 = 7,429.77 : x
  2. Step 2: Convert to fraction form
    10,972.71/15,130.33 = 7,429.77/x
  3. Step 3: Cross multiply
    10,972.71x = 15,130.33 × 7,429.77
  4. Step 4: Simplify right side
    10,972.71x = 112,414,853.35
  5. Step 5: Solve for x
    x = 112,414,853.35/10,972.71
  6. Step 6: Final answer
    x = 10,244.95

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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.