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Finding the Fourth Proportional to 10,149.92, 15,206.79 and 6,199.10

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Solution

The fourth proportional to 10,149.92, 15,206.79 and 6,199.10 is: 9,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.92 : 15,206.79 = 6,199.10 : x
  2. Step 2: Convert to fraction form
    10,149.92/15,206.79 = 6,199.10/x
  3. Step 3: Cross multiply
    10,149.92x = 15,206.79 × 6,199.10
  4. Step 4: Simplify right side
    10,149.92x = 94,268,411.89
  5. Step 5: Solve for x
    x = 94,268,411.89/10,149.92
  6. Step 6: Final answer
    x = 9,287.60

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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.