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Finding the Fourth Proportional to 10,107.55, 15,164.05 and 5,728.08

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Solution

The fourth proportional to 10,107.55, 15,164.05 and 5,728.08 is: 8,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.55 : 15,164.05 = 5,728.08 : x
  2. Step 2: Convert to fraction form
    10,107.55/15,164.05 = 5,728.08/x
  3. Step 3: Cross multiply
    10,107.55x = 15,164.05 × 5,728.08
  4. Step 4: Simplify right side
    10,107.55x = 86,860,853.61
  5. Step 5: Solve for x
    x = 86,860,853.61/10,107.55
  6. Step 6: Final answer
    x = 8,593.66

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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.