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Finding the Fourth Proportional to 7,909.95, 10,915.38 and 4,324.83

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Solution

The fourth proportional to 7,909.95, 10,915.38 and 4,324.83 is: 5,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.95 : 10,915.38 = 4,324.83 : x
  2. Step 2: Convert to fraction form
    7,909.95/10,915.38 = 4,324.83/x
  3. Step 3: Cross multiply
    7,909.95x = 10,915.38 × 4,324.83
  4. Step 4: Simplify right side
    7,909.95x = 47,207,162.89
  5. Step 5: Solve for x
    x = 47,207,162.89/7,909.95
  6. Step 6: Final answer
    x = 5,968.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.