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Finding the Fourth Proportional to 10,517.66, 15,763.51 and 5,833.70

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Solution

The fourth proportional to 10,517.66, 15,763.51 and 5,833.70 is: 8,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.66 : 15,763.51 = 5,833.70 : x
  2. Step 2: Convert to fraction form
    10,517.66/15,763.51 = 5,833.70/x
  3. Step 3: Cross multiply
    10,517.66x = 15,763.51 × 5,833.70
  4. Step 4: Simplify right side
    10,517.66x = 91,959,588.29
  5. Step 5: Solve for x
    x = 91,959,588.29/10,517.66
  6. Step 6: Final answer
    x = 8,743.35

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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.