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Finding the Fourth Proportional to 10,166.71, 15,250.07 and 4,319.23

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Solution

The fourth proportional to 10,166.71, 15,250.07 and 4,319.23 is: 6,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.71 : 15,250.07 = 4,319.23 : x
  2. Step 2: Convert to fraction form
    10,166.71/15,250.07 = 4,319.23/x
  3. Step 3: Cross multiply
    10,166.71x = 15,250.07 × 4,319.23
  4. Step 4: Simplify right side
    10,166.71x = 65,868,559.85
  5. Step 5: Solve for x
    x = 65,868,559.85/10,166.71
  6. Step 6: Final answer
    x = 6,478.85

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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.