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Finding the Fourth Proportional to 7,715.52, 10,647.42 and 4,178.72

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Solution

The fourth proportional to 7,715.52, 10,647.42 and 4,178.72 is: 5,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.52 : 10,647.42 = 4,178.72 : x
  2. Step 2: Convert to fraction form
    7,715.52/10,647.42 = 4,178.72/x
  3. Step 3: Cross multiply
    7,715.52x = 10,647.42 × 4,178.72
  4. Step 4: Simplify right side
    7,715.52x = 44,492,586.90
  5. Step 5: Solve for x
    x = 44,492,586.90/7,715.52
  6. Step 6: Final answer
    x = 5,766.63

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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.