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Finding the Fourth Proportional to 10,085.69, 15,129.33 and 3,066.31

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Solution

The fourth proportional to 10,085.69, 15,129.33 and 3,066.31 is: 4,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.69 : 15,129.33 = 3,066.31 : x
  2. Step 2: Convert to fraction form
    10,085.69/15,129.33 = 3,066.31/x
  3. Step 3: Cross multiply
    10,085.69x = 15,129.33 × 3,066.31
  4. Step 4: Simplify right side
    10,085.69x = 46,391,215.87
  5. Step 5: Solve for x
    x = 46,391,215.87/10,085.69
  6. Step 6: Final answer
    x = 4,599.71

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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.