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Finding the Fourth Proportional to 10,013.52, 15,016.50 and 4,461.42

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Solution

The fourth proportional to 10,013.52, 15,016.50 and 4,461.42 is: 6,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.52 : 15,016.50 = 4,461.42 : x
  2. Step 2: Convert to fraction form
    10,013.52/15,016.50 = 4,461.42/x
  3. Step 3: Cross multiply
    10,013.52x = 15,016.50 × 4,461.42
  4. Step 4: Simplify right side
    10,013.52x = 66,994,913.43
  5. Step 5: Solve for x
    x = 66,994,913.43/10,013.52
  6. Step 6: Final answer
    x = 6,690.45

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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.