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Finding the Fourth Proportional to 8,761.42, 13,145.78 and 5,258.17

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Solution

The fourth proportional to 8,761.42, 13,145.78 and 5,258.17 is: 7,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.42 : 13,145.78 = 5,258.17 : x
  2. Step 2: Convert to fraction form
    8,761.42/13,145.78 = 5,258.17/x
  3. Step 3: Cross multiply
    8,761.42x = 13,145.78 × 5,258.17
  4. Step 4: Simplify right side
    8,761.42x = 69,122,746.02
  5. Step 5: Solve for x
    x = 69,122,746.02/8,761.42
  6. Step 6: Final answer
    x = 7,889.45

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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.