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Finding the Fourth Proportional to 7,715.34, 10,647.17 and 4,178.55

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Solution

The fourth proportional to 7,715.34, 10,647.17 and 4,178.55 is: 5,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.34 : 10,647.17 = 4,178.55 : x
  2. Step 2: Convert to fraction form
    7,715.34/10,647.17 = 4,178.55/x
  3. Step 3: Cross multiply
    7,715.34x = 10,647.17 × 4,178.55
  4. Step 4: Simplify right side
    7,715.34x = 44,489,732.20
  5. Step 5: Solve for x
    x = 44,489,732.20/7,715.34
  6. Step 6: Final answer
    x = 5,766.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.