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Finding the Fourth Proportional to 10,358.10, 15,549.30 and 5,919.30

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Solution

The fourth proportional to 10,358.10, 15,549.30 and 5,919.30 is: 8,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.10 : 15,549.30 = 5,919.30 : x
  2. Step 2: Convert to fraction form
    10,358.10/15,549.30 = 5,919.30/x
  3. Step 3: Cross multiply
    10,358.10x = 15,549.30 × 5,919.30
  4. Step 4: Simplify right side
    10,358.10x = 92,040,971.49
  5. Step 5: Solve for x
    x = 92,040,971.49/10,358.10
  6. Step 6: Final answer
    x = 8,885.89

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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.