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Finding the Fourth Proportional to 6,842.54, 10,263.65 and 5,915.34

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Solution

The fourth proportional to 6,842.54, 10,263.65 and 5,915.34 is: 8,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.54 : 10,263.65 = 5,915.34 : x
  2. Step 2: Convert to fraction form
    6,842.54/10,263.65 = 5,915.34/x
  3. Step 3: Cross multiply
    6,842.54x = 10,263.65 × 5,915.34
  4. Step 4: Simplify right side
    6,842.54x = 60,712,979.39
  5. Step 5: Solve for x
    x = 60,712,979.39/6,842.54
  6. Step 6: Final answer
    x = 8,872.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.