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Finding the Fourth Proportional to 10,025.16, 13,833.84 and 5,549.16

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Solution

The fourth proportional to 10,025.16, 13,833.84 and 5,549.16 is: 7,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.16 : 13,833.84 = 5,549.16 : x
  2. Step 2: Convert to fraction form
    10,025.16/13,833.84 = 5,549.16/x
  3. Step 3: Cross multiply
    10,025.16x = 13,833.84 × 5,549.16
  4. Step 4: Simplify right side
    10,025.16x = 76,766,191.57
  5. Step 5: Solve for x
    x = 76,766,191.57/10,025.16
  6. Step 6: Final answer
    x = 7,657.35

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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.