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Finding the Fourth Proportional to 7,894.25, 11,841.14 and 2,347.61

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Solution

The fourth proportional to 7,894.25, 11,841.14 and 2,347.61 is: 3,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.25 : 11,841.14 = 2,347.61 : x
  2. Step 2: Convert to fraction form
    7,894.25/11,841.14 = 2,347.61/x
  3. Step 3: Cross multiply
    7,894.25x = 11,841.14 × 2,347.61
  4. Step 4: Simplify right side
    7,894.25x = 27,798,307.73
  5. Step 5: Solve for x
    x = 27,798,307.73/7,894.25
  6. Step 6: Final answer
    x = 3,521.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.