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Finding the Fourth Proportional to 10,872.02, 15,007.98 and 7,340.02

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Solution

The fourth proportional to 10,872.02, 15,007.98 and 7,340.02 is: 10,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.02 : 15,007.98 = 7,340.02 : x
  2. Step 2: Convert to fraction form
    10,872.02/15,007.98 = 7,340.02/x
  3. Step 3: Cross multiply
    10,872.02x = 15,007.98 × 7,340.02
  4. Step 4: Simplify right side
    10,872.02x = 110,158,863.36
  5. Step 5: Solve for x
    x = 110,158,863.36/10,872.02
  6. Step 6: Final answer
    x = 10,132.32

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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.