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Finding the Fourth Proportional to 7,003.61, 9,658.47 and 5,112.20

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Solution

The fourth proportional to 7,003.61, 9,658.47 and 5,112.20 is: 7,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.61 : 9,658.47 = 5,112.20 : x
  2. Step 2: Convert to fraction form
    7,003.61/9,658.47 = 5,112.20/x
  3. Step 3: Cross multiply
    7,003.61x = 9,658.47 × 5,112.20
  4. Step 4: Simplify right side
    7,003.61x = 49,375,982.04
  5. Step 5: Solve for x
    x = 49,375,982.04/7,003.61
  6. Step 6: Final answer
    x = 7,050.08

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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.