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Finding the Fourth Proportional to 6,915.77, 10,348.14 and 4,144.40

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Solution

The fourth proportional to 6,915.77, 10,348.14 and 4,144.40 is: 6,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.77 : 10,348.14 = 4,144.40 : x
  2. Step 2: Convert to fraction form
    6,915.77/10,348.14 = 4,144.40/x
  3. Step 3: Cross multiply
    6,915.77x = 10,348.14 × 4,144.40
  4. Step 4: Simplify right side
    6,915.77x = 42,886,831.42
  5. Step 5: Solve for x
    x = 42,886,831.42/6,915.77
  6. Step 6: Final answer
    x = 6,201.31

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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.