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Finding the Fourth Proportional to 10,627.47, 14,658.44 and 6,850.71

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Solution

The fourth proportional to 10,627.47, 14,658.44 and 6,850.71 is: 9,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.47 : 14,658.44 = 6,850.71 : x
  2. Step 2: Convert to fraction form
    10,627.47/14,658.44 = 6,850.71/x
  3. Step 3: Cross multiply
    10,627.47x = 14,658.44 × 6,850.71
  4. Step 4: Simplify right side
    10,627.47x = 100,420,687.24
  5. Step 5: Solve for x
    x = 100,420,687.24/10,627.47
  6. Step 6: Final answer
    x = 9,449.16

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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.