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Finding the Fourth Proportional to 10,199, 14,073.52 and 5,948.92

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Solution

The fourth proportional to 10,199, 14,073.52 and 5,948.92 is: 8,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199 : 14,073.52 = 5,948.92 : x
  2. Step 2: Convert to fraction form
    10,199/14,073.52 = 5,948.92/x
  3. Step 3: Cross multiply
    10,199x = 14,073.52 × 5,948.92
  4. Step 4: Simplify right side
    10,199x = 83,722,244.60
  5. Step 5: Solve for x
    x = 83,722,244.60/10,199
  6. Step 6: Final answer
    x = 8,208.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.