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Finding the Fourth Proportional to 7,655.84, 10,565.26 and 4,298.92

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Solution

The fourth proportional to 7,655.84, 10,565.26 and 4,298.92 is: 5,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.84 : 10,565.26 = 4,298.92 : x
  2. Step 2: Convert to fraction form
    7,655.84/10,565.26 = 4,298.92/x
  3. Step 3: Cross multiply
    7,655.84x = 10,565.26 × 4,298.92
  4. Step 4: Simplify right side
    7,655.84x = 45,419,207.52
  5. Step 5: Solve for x
    x = 45,419,207.52/7,655.84
  6. Step 6: Final answer
    x = 5,932.62

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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.