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Finding the Fourth Proportional to 6,915.84, 10,377.39 and 4,148.07

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Solution

The fourth proportional to 6,915.84, 10,377.39 and 4,148.07 is: 6,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.84 : 10,377.39 = 4,148.07 : x
  2. Step 2: Convert to fraction form
    6,915.84/10,377.39 = 4,148.07/x
  3. Step 3: Cross multiply
    6,915.84x = 10,377.39 × 4,148.07
  4. Step 4: Simplify right side
    6,915.84x = 43,046,140.14
  5. Step 5: Solve for x
    x = 43,046,140.14/6,915.84
  6. Step 6: Final answer
    x = 6,224.28

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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.