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Finding the Fourth Proportional to 11,616.74, 17,425.76 and 3,719.95

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Solution

The fourth proportional to 11,616.74, 17,425.76 and 3,719.95 is: 5,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.74 : 17,425.76 = 3,719.95 : x
  2. Step 2: Convert to fraction form
    11,616.74/17,425.76 = 3,719.95/x
  3. Step 3: Cross multiply
    11,616.74x = 17,425.76 × 3,719.95
  4. Step 4: Simplify right side
    11,616.74x = 64,822,955.91
  5. Step 5: Solve for x
    x = 64,822,955.91/11,616.74
  6. Step 6: Final answer
    x = 5,580.13

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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.