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Finding the Fourth Proportional to 7,713.33, 11,565.14 and 6,543.74

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Solution

The fourth proportional to 7,713.33, 11,565.14 and 6,543.74 is: 9,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.33 : 11,565.14 = 6,543.74 : x
  2. Step 2: Convert to fraction form
    7,713.33/11,565.14 = 6,543.74/x
  3. Step 3: Cross multiply
    7,713.33x = 11,565.14 × 6,543.74
  4. Step 4: Simplify right side
    7,713.33x = 75,679,265.42
  5. Step 5: Solve for x
    x = 75,679,265.42/7,713.33
  6. Step 6: Final answer
    x = 9,811.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.