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Finding the Fourth Proportional to 7,715.71, 10,647.67 and 4,178.92

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Solution

The fourth proportional to 7,715.71, 10,647.67 and 4,178.92 is: 5,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.71 : 10,647.67 = 4,178.92 : x
  2. Step 2: Convert to fraction form
    7,715.71/10,647.67 = 4,178.92/x
  3. Step 3: Cross multiply
    7,715.71x = 10,647.67 × 4,178.92
  4. Step 4: Simplify right side
    7,715.71x = 44,495,740.22
  5. Step 5: Solve for x
    x = 44,495,740.22/7,715.71
  6. Step 6: Final answer
    x = 5,766.90

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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.