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Finding the Fourth Proportional to 10,605.97, 14,630.70 and 7,201.78

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Solution

The fourth proportional to 10,605.97, 14,630.70 and 7,201.78 is: 9,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.97 : 14,630.70 = 7,201.78 : x
  2. Step 2: Convert to fraction form
    10,605.97/14,630.70 = 7,201.78/x
  3. Step 3: Cross multiply
    10,605.97x = 14,630.70 × 7,201.78
  4. Step 4: Simplify right side
    10,605.97x = 105,367,082.65
  5. Step 5: Solve for x
    x = 105,367,082.65/10,605.97
  6. Step 6: Final answer
    x = 9,934.70

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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.