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Finding the Fourth Proportional to 10,557.49, 14,562.99 and 6,972.48

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Solution

The fourth proportional to 10,557.49, 14,562.99 and 6,972.48 is: 9,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.49 : 14,562.99 = 6,972.48 : x
  2. Step 2: Convert to fraction form
    10,557.49/14,562.99 = 6,972.48/x
  3. Step 3: Cross multiply
    10,557.49x = 14,562.99 × 6,972.48
  4. Step 4: Simplify right side
    10,557.49x = 101,540,156.52
  5. Step 5: Solve for x
    x = 101,540,156.52/10,557.49
  6. Step 6: Final answer
    x = 9,617.83

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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.