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Finding the Fourth Proportional to 10,515.90, 15,775.42 and 3,397.76

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Solution

The fourth proportional to 10,515.90, 15,775.42 and 3,397.76 is: 5,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.90 : 15,775.42 = 3,397.76 : x
  2. Step 2: Convert to fraction form
    10,515.90/15,775.42 = 3,397.76/x
  3. Step 3: Cross multiply
    10,515.90x = 15,775.42 × 3,397.76
  4. Step 4: Simplify right side
    10,515.90x = 53,601,091.06
  5. Step 5: Solve for x
    x = 53,601,091.06/10,515.90
  6. Step 6: Final answer
    x = 5,097.15

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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.