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Finding the Fourth Proportional to 10,539.64, 15,804.14 and 3,517.16

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Solution

The fourth proportional to 10,539.64, 15,804.14 and 3,517.16 is: 5,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.64 : 15,804.14 = 3,517.16 : x
  2. Step 2: Convert to fraction form
    10,539.64/15,804.14 = 3,517.16/x
  3. Step 3: Cross multiply
    10,539.64x = 15,804.14 × 3,517.16
  4. Step 4: Simplify right side
    10,539.64x = 55,585,671.46
  5. Step 5: Solve for x
    x = 55,585,671.46/10,539.64
  6. Step 6: Final answer
    x = 5,273.97

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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.