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Finding the Fourth Proportional to 10,348.38, 15,517.09 and 4,501.80

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Solution

The fourth proportional to 10,348.38, 15,517.09 and 4,501.80 is: 6,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.38 : 15,517.09 = 4,501.80 : x
  2. Step 2: Convert to fraction form
    10,348.38/15,517.09 = 4,501.80/x
  3. Step 3: Cross multiply
    10,348.38x = 15,517.09 × 4,501.80
  4. Step 4: Simplify right side
    10,348.38x = 69,854,835.76
  5. Step 5: Solve for x
    x = 69,854,835.76/10,348.38
  6. Step 6: Final answer
    x = 6,750.32

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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.