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Finding the Fourth Proportional to 8,436.02, 12,656.65 and 3,171.50

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Solution

The fourth proportional to 8,436.02, 12,656.65 and 3,171.50 is: 4,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.02 : 12,656.65 = 3,171.50 : x
  2. Step 2: Convert to fraction form
    8,436.02/12,656.65 = 3,171.50/x
  3. Step 3: Cross multiply
    8,436.02x = 12,656.65 × 3,171.50
  4. Step 4: Simplify right side
    8,436.02x = 40,140,565.48
  5. Step 5: Solve for x
    x = 40,140,565.48/8,436.02
  6. Step 6: Final answer
    x = 4,758.23

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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.