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Finding the Fourth Proportional to 7,538.88, 10,397.88 and 6,689.28

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Solution

The fourth proportional to 7,538.88, 10,397.88 and 6,689.28 is: 9,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.88 : 10,397.88 = 6,689.28 : x
  2. Step 2: Convert to fraction form
    7,538.88/10,397.88 = 6,689.28/x
  3. Step 3: Cross multiply
    7,538.88x = 10,397.88 × 6,689.28
  4. Step 4: Simplify right side
    7,538.88x = 69,554,330.73
  5. Step 5: Solve for x
    x = 69,554,330.73/7,538.88
  6. Step 6: Final answer
    x = 9,226.08

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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.