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Finding the Fourth Proportional to 7,086.72, 9,793.16 and 5,315.25

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Solution

The fourth proportional to 7,086.72, 9,793.16 and 5,315.25 is: 7,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.72 : 9,793.16 = 5,315.25 : x
  2. Step 2: Convert to fraction form
    7,086.72/9,793.16 = 5,315.25/x
  3. Step 3: Cross multiply
    7,086.72x = 9,793.16 × 5,315.25
  4. Step 4: Simplify right side
    7,086.72x = 52,053,018.15
  5. Step 5: Solve for x
    x = 52,053,018.15/7,086.72
  6. Step 6: Final answer
    x = 7,345.15

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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.