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Finding the Fourth Proportional to 6,915.81, 10,373.67 and 3,216

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Solution

The fourth proportional to 6,915.81, 10,373.67 and 3,216 is: 4,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.81 : 10,373.67 = 3,216 : x
  2. Step 2: Convert to fraction form
    6,915.81/10,373.67 = 3,216/x
  3. Step 3: Cross multiply
    6,915.81x = 10,373.67 × 3,216
  4. Step 4: Simplify right side
    6,915.81x = 33,361,722.72
  5. Step 5: Solve for x
    x = 33,361,722.72/6,915.81
  6. Step 6: Final answer
    x = 4,823.98

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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.