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Finding the Fourth Proportional to 7,646.55, 11,470.96 and 2,715.77

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Solution

The fourth proportional to 7,646.55, 11,470.96 and 2,715.77 is: 4,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.55 : 11,470.96 = 2,715.77 : x
  2. Step 2: Convert to fraction form
    7,646.55/11,470.96 = 2,715.77/x
  3. Step 3: Cross multiply
    7,646.55x = 11,470.96 × 2,715.77
  4. Step 4: Simplify right side
    7,646.55x = 31,152,489.04
  5. Step 5: Solve for x
    x = 31,152,489.04/7,646.55
  6. Step 6: Final answer
    x = 4,074.06

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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.