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Finding the Fourth Proportional to 10,517.16, 15,762.78 and 5,833.20

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Solution

The fourth proportional to 10,517.16, 15,762.78 and 5,833.20 is: 8,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.16 : 15,762.78 = 5,833.20 : x
  2. Step 2: Convert to fraction form
    10,517.16/15,762.78 = 5,833.20/x
  3. Step 3: Cross multiply
    10,517.16x = 15,762.78 × 5,833.20
  4. Step 4: Simplify right side
    10,517.16x = 91,947,448.30
  5. Step 5: Solve for x
    x = 91,947,448.30/10,517.16
  6. Step 6: Final answer
    x = 8,742.61

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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.