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Finding the Fourth Proportional to 7,160.40, 9,885.03 and 5,563.47

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Solution

The fourth proportional to 7,160.40, 9,885.03 and 5,563.47 is: 7,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.40 : 9,885.03 = 5,563.47 : x
  2. Step 2: Convert to fraction form
    7,160.40/9,885.03 = 5,563.47/x
  3. Step 3: Cross multiply
    7,160.40x = 9,885.03 × 5,563.47
  4. Step 4: Simplify right side
    7,160.40x = 54,995,067.85
  5. Step 5: Solve for x
    x = 54,995,067.85/7,160.40
  6. Step 6: Final answer
    x = 7,680.45

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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.