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Finding the Fourth Proportional to 7,715.31, 10,647.12 and 4,357.97

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Solution

The fourth proportional to 7,715.31, 10,647.12 and 4,357.97 is: 6,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.31 : 10,647.12 = 4,357.97 : x
  2. Step 2: Convert to fraction form
    7,715.31/10,647.12 = 4,357.97/x
  3. Step 3: Cross multiply
    7,715.31x = 10,647.12 × 4,357.97
  4. Step 4: Simplify right side
    7,715.31x = 46,399,829.55
  5. Step 5: Solve for x
    x = 46,399,829.55/7,715.31
  6. Step 6: Final answer
    x = 6,013.99

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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.