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Finding the Fourth Proportional to 7,972.66, 11,001.92 and 4,615.30

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Solution

The fourth proportional to 7,972.66, 11,001.92 and 4,615.30 is: 6,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.66 : 11,001.92 = 4,615.30 : x
  2. Step 2: Convert to fraction form
    7,972.66/11,001.92 = 4,615.30/x
  3. Step 3: Cross multiply
    7,972.66x = 11,001.92 × 4,615.30
  4. Step 4: Simplify right side
    7,972.66x = 50,777,161.38
  5. Step 5: Solve for x
    x = 50,777,161.38/7,972.66
  6. Step 6: Final answer
    x = 6,368.91

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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.