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Finding the Fourth Proportional to 6,838.76, 10,258.14 and 3,915.03

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Solution

The fourth proportional to 6,838.76, 10,258.14 and 3,915.03 is: 5,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.76 : 10,258.14 = 3,915.03 : x
  2. Step 2: Convert to fraction form
    6,838.76/10,258.14 = 3,915.03/x
  3. Step 3: Cross multiply
    6,838.76x = 10,258.14 × 3,915.03
  4. Step 4: Simplify right side
    6,838.76x = 40,160,925.84
  5. Step 5: Solve for x
    x = 40,160,925.84/6,838.76
  6. Step 6: Final answer
    x = 5,872.55

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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.