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Finding the Fourth Proportional to 7,565.31, 10,425.73 and 5,549.28

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Solution

The fourth proportional to 7,565.31, 10,425.73 and 5,549.28 is: 7,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.31 : 10,425.73 = 5,549.28 : x
  2. Step 2: Convert to fraction form
    7,565.31/10,425.73 = 5,549.28/x
  3. Step 3: Cross multiply
    7,565.31x = 10,425.73 × 5,549.28
  4. Step 4: Simplify right side
    7,565.31x = 57,855,316.97
  5. Step 5: Solve for x
    x = 57,855,316.97/7,565.31
  6. Step 6: Final answer
    x = 7,647.45

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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.