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Finding the Fourth Proportional to 11,894.88, 16,418.56 and 6,862.40

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Solution

The fourth proportional to 11,894.88, 16,418.56 and 6,862.40 is: 9,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.88 : 16,418.56 = 6,862.40 : x
  2. Step 2: Convert to fraction form
    11,894.88/16,418.56 = 6,862.40/x
  3. Step 3: Cross multiply
    11,894.88x = 16,418.56 × 6,862.40
  4. Step 4: Simplify right side
    11,894.88x = 112,670,726.14
  5. Step 5: Solve for x
    x = 112,670,726.14/11,894.88
  6. Step 6: Final answer
    x = 9,472.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.