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Finding the Fourth Proportional to 7,178.14, 9,891.72 and 5,501.44

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Solution

The fourth proportional to 7,178.14, 9,891.72 and 5,501.44 is: 7,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.14 : 9,891.72 = 5,501.44 : x
  2. Step 2: Convert to fraction form
    7,178.14/9,891.72 = 5,501.44/x
  3. Step 3: Cross multiply
    7,178.14x = 9,891.72 × 5,501.44
  4. Step 4: Simplify right side
    7,178.14x = 54,418,704.08
  5. Step 5: Solve for x
    x = 54,418,704.08/7,178.14
  6. Step 6: Final answer
    x = 7,581.17

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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.