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Finding the Fourth Proportional to 10,972.10, 16,458.14 and 6,039.20

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Solution

The fourth proportional to 10,972.10, 16,458.14 and 6,039.20 is: 9,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.10 : 16,458.14 = 6,039.20 : x
  2. Step 2: Convert to fraction form
    10,972.10/16,458.14 = 6,039.20/x
  3. Step 3: Cross multiply
    10,972.10x = 16,458.14 × 6,039.20
  4. Step 4: Simplify right side
    10,972.10x = 99,393,931.90
  5. Step 5: Solve for x
    x = 99,393,931.90/10,972.10
  6. Step 6: Final answer
    x = 9,058.79

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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.