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Finding the Fourth Proportional to 7,711.60, 11,565.06 and 3,328.24

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Solution

The fourth proportional to 7,711.60, 11,565.06 and 3,328.24 is: 4,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.60 : 11,565.06 = 3,328.24 : x
  2. Step 2: Convert to fraction form
    7,711.60/11,565.06 = 3,328.24/x
  3. Step 3: Cross multiply
    7,711.60x = 11,565.06 × 3,328.24
  4. Step 4: Simplify right side
    7,711.60x = 38,491,295.29
  5. Step 5: Solve for x
    x = 38,491,295.29/7,711.60
  6. Step 6: Final answer
    x = 4,991.35

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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.