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Finding the Fourth Proportional to 10,449.90, 15,670.95 and 4,207.80

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Solution

The fourth proportional to 10,449.90, 15,670.95 and 4,207.80 is: 6,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.90 : 15,670.95 = 4,207.80 : x
  2. Step 2: Convert to fraction form
    10,449.90/15,670.95 = 4,207.80/x
  3. Step 3: Cross multiply
    10,449.90x = 15,670.95 × 4,207.80
  4. Step 4: Simplify right side
    10,449.90x = 65,940,223.41
  5. Step 5: Solve for x
    x = 65,940,223.41/10,449.90
  6. Step 6: Final answer
    x = 6,310.13

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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.