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Finding the Fourth Proportional to 10,203.67, 14,080.10 and 5,726.55

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Solution

The fourth proportional to 10,203.67, 14,080.10 and 5,726.55 is: 7,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.67 : 14,080.10 = 5,726.55 : x
  2. Step 2: Convert to fraction form
    10,203.67/14,080.10 = 5,726.55/x
  3. Step 3: Cross multiply
    10,203.67x = 14,080.10 × 5,726.55
  4. Step 4: Simplify right side
    10,203.67x = 80,630,373.83
  5. Step 5: Solve for x
    x = 80,630,373.83/10,203.67
  6. Step 6: Final answer
    x = 7,902.09

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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.