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Finding the Fourth Proportional to 10,348.38, 15,522.38 and 2,557.20

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Solution

The fourth proportional to 10,348.38, 15,522.38 and 2,557.20 is: 3,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.38 : 15,522.38 = 2,557.20 : x
  2. Step 2: Convert to fraction form
    10,348.38/15,522.38 = 2,557.20/x
  3. Step 3: Cross multiply
    10,348.38x = 15,522.38 × 2,557.20
  4. Step 4: Simplify right side
    10,348.38x = 39,693,830.14
  5. Step 5: Solve for x
    x = 39,693,830.14/10,348.38
  6. Step 6: Final answer
    x = 3,835.75

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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.