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Finding the Fourth Proportional to 8,376.02, 12,565.39 and 2,829.70

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Solution

The fourth proportional to 8,376.02, 12,565.39 and 2,829.70 is: 4,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.02 : 12,565.39 = 2,829.70 : x
  2. Step 2: Convert to fraction form
    8,376.02/12,565.39 = 2,829.70/x
  3. Step 3: Cross multiply
    8,376.02x = 12,565.39 × 2,829.70
  4. Step 4: Simplify right side
    8,376.02x = 35,556,221.26
  5. Step 5: Solve for x
    x = 35,556,221.26/8,376.02
  6. Step 6: Final answer
    x = 4,245.00

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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.