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Finding the Fourth Proportional to 7,957.76, 10,988.34 and 6,638.38

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Solution

The fourth proportional to 7,957.76, 10,988.34 and 6,638.38 is: 9,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.76 : 10,988.34 = 6,638.38 : x
  2. Step 2: Convert to fraction form
    7,957.76/10,988.34 = 6,638.38/x
  3. Step 3: Cross multiply
    7,957.76x = 10,988.34 × 6,638.38
  4. Step 4: Simplify right side
    7,957.76x = 72,944,776.49
  5. Step 5: Solve for x
    x = 72,944,776.49/7,957.76
  6. Step 6: Final answer
    x = 9,166.50

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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.