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Finding the Fourth Proportional to 7,747.32, 10,685.08 and 5,097.44

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Solution

The fourth proportional to 7,747.32, 10,685.08 and 5,097.44 is: 7,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.32 : 10,685.08 = 5,097.44 : x
  2. Step 2: Convert to fraction form
    7,747.32/10,685.08 = 5,097.44/x
  3. Step 3: Cross multiply
    7,747.32x = 10,685.08 × 5,097.44
  4. Step 4: Simplify right side
    7,747.32x = 54,466,554.20
  5. Step 5: Solve for x
    x = 54,466,554.20/7,747.32
  6. Step 6: Final answer
    x = 7,030.37

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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.