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Finding the Fourth Proportional to 11,107.71, 16,661.54 and 3,710.48

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Solution

The fourth proportional to 11,107.71, 16,661.54 and 3,710.48 is: 5,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.71 : 16,661.54 = 3,710.48 : x
  2. Step 2: Convert to fraction form
    11,107.71/16,661.54 = 3,710.48/x
  3. Step 3: Cross multiply
    11,107.71x = 16,661.54 × 3,710.48
  4. Step 4: Simplify right side
    11,107.71x = 61,822,236.91
  5. Step 5: Solve for x
    x = 61,822,236.91/11,107.71
  6. Step 6: Final answer
    x = 5,565.70

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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.