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Finding the Fourth Proportional to 7,086.98, 9,787.29 and 5,315.78

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Solution

The fourth proportional to 7,086.98, 9,787.29 and 5,315.78 is: 7,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.98 : 9,787.29 = 5,315.78 : x
  2. Step 2: Convert to fraction form
    7,086.98/9,787.29 = 5,315.78/x
  3. Step 3: Cross multiply
    7,086.98x = 9,787.29 × 5,315.78
  4. Step 4: Simplify right side
    7,086.98x = 52,027,080.44
  5. Step 5: Solve for x
    x = 52,027,080.44/7,086.98
  6. Step 6: Final answer
    x = 7,341.22

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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.