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Finding the Fourth Proportional to 7,711.48, 11,565.76 and 3,758.77

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Solution

The fourth proportional to 7,711.48, 11,565.76 and 3,758.77 is: 5,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.48 : 11,565.76 = 3,758.77 : x
  2. Step 2: Convert to fraction form
    7,711.48/11,565.76 = 3,758.77/x
  3. Step 3: Cross multiply
    7,711.48x = 11,565.76 × 3,758.77
  4. Step 4: Simplify right side
    7,711.48x = 43,472,978.77
  5. Step 5: Solve for x
    x = 43,472,978.77/7,711.48
  6. Step 6: Final answer
    x = 5,637.44

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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.