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Finding the Fourth Proportional to 10,202.88, 14,080.18 and 5,726.96

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Solution

The fourth proportional to 10,202.88, 14,080.18 and 5,726.96 is: 7,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.88 : 14,080.18 = 5,726.96 : x
  2. Step 2: Convert to fraction form
    10,202.88/14,080.18 = 5,726.96/x
  3. Step 3: Cross multiply
    10,202.88x = 14,080.18 × 5,726.96
  4. Step 4: Simplify right side
    10,202.88x = 80,636,627.65
  5. Step 5: Solve for x
    x = 80,636,627.65/10,202.88
  6. Step 6: Final answer
    x = 7,903.32

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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.