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Finding the Fourth Proportional to 8,407.96, 12,595.52 and 6,182.70

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Solution

The fourth proportional to 8,407.96, 12,595.52 and 6,182.70 is: 9,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.96 : 12,595.52 = 6,182.70 : x
  2. Step 2: Convert to fraction form
    8,407.96/12,595.52 = 6,182.70/x
  3. Step 3: Cross multiply
    8,407.96x = 12,595.52 × 6,182.70
  4. Step 4: Simplify right side
    8,407.96x = 77,874,321.50
  5. Step 5: Solve for x
    x = 77,874,321.50/8,407.96
  6. Step 6: Final answer
    x = 9,261.98

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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.