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Finding the Fourth Proportional to 10,836.90, 16,239.98 and 7,507.20

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Solution

The fourth proportional to 10,836.90, 16,239.98 and 7,507.20 is: 11,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.90 : 16,239.98 = 7,507.20 : x
  2. Step 2: Convert to fraction form
    10,836.90/16,239.98 = 7,507.20/x
  3. Step 3: Cross multiply
    10,836.90x = 16,239.98 × 7,507.20
  4. Step 4: Simplify right side
    10,836.90x = 121,916,659.12
  5. Step 5: Solve for x
    x = 121,916,659.12/10,836.90
  6. Step 6: Final answer
    x = 11,250.14

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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.