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Finding the Fourth Proportional to 7,915.93, 11,870.01 and 4,217.20

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Solution

The fourth proportional to 7,915.93, 11,870.01 and 4,217.20 is: 6,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.93 : 11,870.01 = 4,217.20 : x
  2. Step 2: Convert to fraction form
    7,915.93/11,870.01 = 4,217.20/x
  3. Step 3: Cross multiply
    7,915.93x = 11,870.01 × 4,217.20
  4. Step 4: Simplify right side
    7,915.93x = 50,058,176.50
  5. Step 5: Solve for x
    x = 50,058,176.50/7,915.93
  6. Step 6: Final answer
    x = 6,323.73

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Why These Related Problems?

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