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Finding the Fourth Proportional to 8,670.30, 13,000.65 and 2,823.90

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Solution

The fourth proportional to 8,670.30, 13,000.65 and 2,823.90 is: 4,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.30 : 13,000.65 = 2,823.90 : x
  2. Step 2: Convert to fraction form
    8,670.30/13,000.65 = 2,823.90/x
  3. Step 3: Cross multiply
    8,670.30x = 13,000.65 × 2,823.90
  4. Step 4: Simplify right side
    8,670.30x = 36,712,535.54
  5. Step 5: Solve for x
    x = 36,712,535.54/8,670.30
  6. Step 6: Final answer
    x = 4,234.29

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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.