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Finding the Fourth Proportional to 10,923.76, 15,076 and 6,732

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Solution

The fourth proportional to 10,923.76, 15,076 and 6,732 is: 9,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.76 : 15,076 = 6,732 : x
  2. Step 2: Convert to fraction form
    10,923.76/15,076 = 6,732/x
  3. Step 3: Cross multiply
    10,923.76x = 15,076 × 6,732
  4. Step 4: Simplify right side
    10,923.76x = 101,491,632
  5. Step 5: Solve for x
    x = 101,491,632/10,923.76
  6. Step 6: Final answer
    x = 9,290.91

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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.