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Finding the Fourth Proportional to 10,557.30, 14,562.72 and 6,972.29

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Solution

The fourth proportional to 10,557.30, 14,562.72 and 6,972.29 is: 9,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.30 : 14,562.72 = 6,972.29 : x
  2. Step 2: Convert to fraction form
    10,557.30/14,562.72 = 6,972.29/x
  3. Step 3: Cross multiply
    10,557.30x = 14,562.72 × 6,972.29
  4. Step 4: Simplify right side
    10,557.30x = 101,535,434.22
  5. Step 5: Solve for x
    x = 101,535,434.22/10,557.30
  6. Step 6: Final answer
    x = 9,617.56

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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.