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Finding the Fourth Proportional to 7,973.64, 11,963.03 and 2,428.06

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Solution

The fourth proportional to 7,973.64, 11,963.03 and 2,428.06 is: 3,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.64 : 11,963.03 = 2,428.06 : x
  2. Step 2: Convert to fraction form
    7,973.64/11,963.03 = 2,428.06/x
  3. Step 3: Cross multiply
    7,973.64x = 11,963.03 × 2,428.06
  4. Step 4: Simplify right side
    7,973.64x = 29,046,882.67
  5. Step 5: Solve for x
    x = 29,046,882.67/7,973.64
  6. Step 6: Final answer
    x = 3,642.86

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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.