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Finding the Fourth Proportional to 10,917.54, 15,064.02 and 6,201.72

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Solution

The fourth proportional to 10,917.54, 15,064.02 and 6,201.72 is: 8,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.54 : 15,064.02 = 6,201.72 : x
  2. Step 2: Convert to fraction form
    10,917.54/15,064.02 = 6,201.72/x
  3. Step 3: Cross multiply
    10,917.54x = 15,064.02 × 6,201.72
  4. Step 4: Simplify right side
    10,917.54x = 93,422,834.11
  5. Step 5: Solve for x
    x = 93,422,834.11/10,917.54
  6. Step 6: Final answer
    x = 8,557.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.