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Finding the Fourth Proportional to 10,930.72, 16,404.05 and 4,358.78

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Solution

The fourth proportional to 10,930.72, 16,404.05 and 4,358.78 is: 6,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.72 : 16,404.05 = 4,358.78 : x
  2. Step 2: Convert to fraction form
    10,930.72/16,404.05 = 4,358.78/x
  3. Step 3: Cross multiply
    10,930.72x = 16,404.05 × 4,358.78
  4. Step 4: Simplify right side
    10,930.72x = 71,501,645.06
  5. Step 5: Solve for x
    x = 71,501,645.06/10,930.72
  6. Step 6: Final answer
    x = 6,541.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.