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Finding the Fourth Proportional to 7,655.71, 10,565.49 and 4,298.75

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Solution

The fourth proportional to 7,655.71, 10,565.49 and 4,298.75 is: 5,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.71 : 10,565.49 = 4,298.75 : x
  2. Step 2: Convert to fraction form
    7,655.71/10,565.49 = 4,298.75/x
  3. Step 3: Cross multiply
    7,655.71x = 10,565.49 × 4,298.75
  4. Step 4: Simplify right side
    7,655.71x = 45,418,373.72
  5. Step 5: Solve for x
    x = 45,418,373.72/7,655.71
  6. Step 6: Final answer
    x = 5,932.61

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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.