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Finding the Fourth Proportional to 7,869.28, 11,802.92 and 3,972

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Solution

The fourth proportional to 7,869.28, 11,802.92 and 3,972 is: 5,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.28 : 11,802.92 = 3,972 : x
  2. Step 2: Convert to fraction form
    7,869.28/11,802.92 = 3,972/x
  3. Step 3: Cross multiply
    7,869.28x = 11,802.92 × 3,972
  4. Step 4: Simplify right side
    7,869.28x = 46,881,198.24
  5. Step 5: Solve for x
    x = 46,881,198.24/7,869.28
  6. Step 6: Final answer
    x = 5,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.