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Finding the Fourth Proportional to 8,001.14, 11,041.80 and 4,464.28

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Solution

The fourth proportional to 8,001.14, 11,041.80 and 4,464.28 is: 6,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.14 : 11,041.80 = 4,464.28 : x
  2. Step 2: Convert to fraction form
    8,001.14/11,041.80 = 4,464.28/x
  3. Step 3: Cross multiply
    8,001.14x = 11,041.80 × 4,464.28
  4. Step 4: Simplify right side
    8,001.14x = 49,293,631.70
  5. Step 5: Solve for x
    x = 49,293,631.70/8,001.14
  6. Step 6: Final answer
    x = 6,160.83

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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.