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Finding the Fourth Proportional to 10,049, 15,071.88 and 7,118.42

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Solution

The fourth proportional to 10,049, 15,071.88 and 7,118.42 is: 10,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049 : 15,071.88 = 7,118.42 : x
  2. Step 2: Convert to fraction form
    10,049/15,071.88 = 7,118.42/x
  3. Step 3: Cross multiply
    10,049x = 15,071.88 × 7,118.42
  4. Step 4: Simplify right side
    10,049x = 107,287,972.03
  5. Step 5: Solve for x
    x = 107,287,972.03/10,049
  6. Step 6: Final answer
    x = 10,676.48

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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.