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Finding the Fourth Proportional to 8,353.74, 12,532.80 and 3,159.66

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Solution

The fourth proportional to 8,353.74, 12,532.80 and 3,159.66 is: 4,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.74 : 12,532.80 = 3,159.66 : x
  2. Step 2: Convert to fraction form
    8,353.74/12,532.80 = 3,159.66/x
  3. Step 3: Cross multiply
    8,353.74x = 12,532.80 × 3,159.66
  4. Step 4: Simplify right side
    8,353.74x = 39,599,386.85
  5. Step 5: Solve for x
    x = 39,599,386.85/8,353.74
  6. Step 6: Final answer
    x = 4,740.32

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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.