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Finding the Fourth Proportional to 10,605.33, 15,883.76 and 5,062.57

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Solution

The fourth proportional to 10,605.33, 15,883.76 and 5,062.57 is: 7,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.33 : 15,883.76 = 5,062.57 : x
  2. Step 2: Convert to fraction form
    10,605.33/15,883.76 = 5,062.57/x
  3. Step 3: Cross multiply
    10,605.33x = 15,883.76 × 5,062.57
  4. Step 4: Simplify right side
    10,605.33x = 80,412,646.86
  5. Step 5: Solve for x
    x = 80,412,646.86/10,605.33
  6. Step 6: Final answer
    x = 7,582.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.