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Finding the Fourth Proportional to 8,507.90, 12,734.55 and 4,549.26

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Solution

The fourth proportional to 8,507.90, 12,734.55 and 4,549.26 is: 6,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.90 : 12,734.55 = 4,549.26 : x
  2. Step 2: Convert to fraction form
    8,507.90/12,734.55 = 4,549.26/x
  3. Step 3: Cross multiply
    8,507.90x = 12,734.55 × 4,549.26
  4. Step 4: Simplify right side
    8,507.90x = 57,932,826.69
  5. Step 5: Solve for x
    x = 57,932,826.69/8,507.90
  6. Step 6: Final answer
    x = 6,809.30

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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.