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Finding the Fourth Proportional to 11,873.74, 17,807.10 and 4,472.68

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Solution

The fourth proportional to 11,873.74, 17,807.10 and 4,472.68 is: 6,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.74 : 17,807.10 = 4,472.68 : x
  2. Step 2: Convert to fraction form
    11,873.74/17,807.10 = 4,472.68/x
  3. Step 3: Cross multiply
    11,873.74x = 17,807.10 × 4,472.68
  4. Step 4: Simplify right side
    11,873.74x = 79,645,460.03
  5. Step 5: Solve for x
    x = 79,645,460.03/11,873.74
  6. Step 6: Final answer
    x = 6,707.70

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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.