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Finding the Fourth Proportional to 11,616.94, 17,425.50 and 2,851.93

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Solution

The fourth proportional to 11,616.94, 17,425.50 and 2,851.93 is: 4,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.94 : 17,425.50 = 2,851.93 : x
  2. Step 2: Convert to fraction form
    11,616.94/17,425.50 = 2,851.93/x
  3. Step 3: Cross multiply
    11,616.94x = 17,425.50 × 2,851.93
  4. Step 4: Simplify right side
    11,616.94x = 49,696,306.22
  5. Step 5: Solve for x
    x = 49,696,306.22/11,616.94
  6. Step 6: Final answer
    x = 4,277.92

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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.