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Finding the Fourth Proportional to 10,417.97, 15,627.15 and 3,397.95

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Solution

The fourth proportional to 10,417.97, 15,627.15 and 3,397.95 is: 5,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.97 : 15,627.15 = 3,397.95 : x
  2. Step 2: Convert to fraction form
    10,417.97/15,627.15 = 3,397.95/x
  3. Step 3: Cross multiply
    10,417.97x = 15,627.15 × 3,397.95
  4. Step 4: Simplify right side
    10,417.97x = 53,100,274.34
  5. Step 5: Solve for x
    x = 53,100,274.34/10,417.97
  6. Step 6: Final answer
    x = 5,096.99

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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.