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Finding the Fourth Proportional to 7,275.38, 10,917 and 5,635.13

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Solution

The fourth proportional to 7,275.38, 10,917 and 5,635.13 is: 8,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.38 : 10,917 = 5,635.13 : x
  2. Step 2: Convert to fraction form
    7,275.38/10,917 = 5,635.13/x
  3. Step 3: Cross multiply
    7,275.38x = 10,917 × 5,635.13
  4. Step 4: Simplify right side
    7,275.38x = 61,518,659.63
  5. Step 5: Solve for x
    x = 61,518,659.63/7,275.38
  6. Step 6: Final answer
    x = 8,455.74

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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.