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Finding the Fourth Proportional to 10,202.86, 14,080.10 and 5,726.35

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Solution

The fourth proportional to 10,202.86, 14,080.10 and 5,726.35 is: 7,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.86 : 14,080.10 = 5,726.35 : x
  2. Step 2: Convert to fraction form
    10,202.86/14,080.10 = 5,726.35/x
  3. Step 3: Cross multiply
    10,202.86x = 14,080.10 × 5,726.35
  4. Step 4: Simplify right side
    10,202.86x = 80,627,580.64
  5. Step 5: Solve for x
    x = 80,627,580.64/10,202.86
  6. Step 6: Final answer
    x = 7,902.45

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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.