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Finding the Fourth Proportional to 10,016.46, 15,020.13 and 5,335.28

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Solution

The fourth proportional to 10,016.46, 15,020.13 and 5,335.28 is: 8,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.46 : 15,020.13 = 5,335.28 : x
  2. Step 2: Convert to fraction form
    10,016.46/15,020.13 = 5,335.28/x
  3. Step 3: Cross multiply
    10,016.46x = 15,020.13 × 5,335.28
  4. Step 4: Simplify right side
    10,016.46x = 80,136,599.19
  5. Step 5: Solve for x
    x = 80,136,599.19/10,016.46
  6. Step 6: Final answer
    x = 8,000.49

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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.