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Finding the Fourth Proportional to 8,832.46, 13,248.65 and 2,258.63

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Solution

The fourth proportional to 8,832.46, 13,248.65 and 2,258.63 is: 3,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.46 : 13,248.65 = 2,258.63 : x
  2. Step 2: Convert to fraction form
    8,832.46/13,248.65 = 2,258.63/x
  3. Step 3: Cross multiply
    8,832.46x = 13,248.65 × 2,258.63
  4. Step 4: Simplify right side
    8,832.46x = 29,923,787.06
  5. Step 5: Solve for x
    x = 29,923,787.06/8,832.46
  6. Step 6: Final answer
    x = 3,387.94

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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.