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Finding the Fourth Proportional to 7,711.20, 10,643.76 and 4,728.96

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Solution

The fourth proportional to 7,711.20, 10,643.76 and 4,728.96 is: 6,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.20 : 10,643.76 = 4,728.96 : x
  2. Step 2: Convert to fraction form
    7,711.20/10,643.76 = 4,728.96/x
  3. Step 3: Cross multiply
    7,711.20x = 10,643.76 × 4,728.96
  4. Step 4: Simplify right side
    7,711.20x = 50,333,915.29
  5. Step 5: Solve for x
    x = 50,333,915.29/7,711.20
  6. Step 6: Final answer
    x = 6,527.38

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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.