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Finding the Fourth Proportional to 7,963.72, 10,988.88 and 4,606

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Solution

The fourth proportional to 7,963.72, 10,988.88 and 4,606 is: 6,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.72 : 10,988.88 = 4,606 : x
  2. Step 2: Convert to fraction form
    7,963.72/10,988.88 = 4,606/x
  3. Step 3: Cross multiply
    7,963.72x = 10,988.88 × 4,606
  4. Step 4: Simplify right side
    7,963.72x = 50,614,781.28
  5. Step 5: Solve for x
    x = 50,614,781.28/7,963.72
  6. Step 6: Final answer
    x = 6,355.67

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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.