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Finding the Fourth Proportional to 10,532.97, 14,538.29 and 6,551.82

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Solution

The fourth proportional to 10,532.97, 14,538.29 and 6,551.82 is: 9,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.97 : 14,538.29 = 6,551.82 : x
  2. Step 2: Convert to fraction form
    10,532.97/14,538.29 = 6,551.82/x
  3. Step 3: Cross multiply
    10,532.97x = 14,538.29 × 6,551.82
  4. Step 4: Simplify right side
    10,532.97x = 95,252,226.43
  5. Step 5: Solve for x
    x = 95,252,226.43/10,532.97
  6. Step 6: Final answer
    x = 9,043.24

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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.