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Finding the Fourth Proportional to 8,837.64, 13,248.54 and 3,640.20

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Solution

The fourth proportional to 8,837.64, 13,248.54 and 3,640.20 is: 5,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.64 : 13,248.54 = 3,640.20 : x
  2. Step 2: Convert to fraction form
    8,837.64/13,248.54 = 3,640.20/x
  3. Step 3: Cross multiply
    8,837.64x = 13,248.54 × 3,640.20
  4. Step 4: Simplify right side
    8,837.64x = 48,227,335.31
  5. Step 5: Solve for x
    x = 48,227,335.31/8,837.64
  6. Step 6: Final answer
    x = 5,457.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.