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Finding the Fourth Proportional to 7,715.22, 10,646.98 and 4,178.44

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Solution

The fourth proportional to 7,715.22, 10,646.98 and 4,178.44 is: 5,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.22 : 10,646.98 = 4,178.44 : x
  2. Step 2: Convert to fraction form
    7,715.22/10,646.98 = 4,178.44/x
  3. Step 3: Cross multiply
    7,715.22x = 10,646.98 × 4,178.44
  4. Step 4: Simplify right side
    7,715.22x = 44,487,767.11
  5. Step 5: Solve for x
    x = 44,487,767.11/7,715.22
  6. Step 6: Final answer
    x = 5,766.23

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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.