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Finding the Fourth Proportional to 6,859.77, 10,264.14 and 4,087.95

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Solution

The fourth proportional to 6,859.77, 10,264.14 and 4,087.95 is: 6,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.77 : 10,264.14 = 4,087.95 : x
  2. Step 2: Convert to fraction form
    6,859.77/10,264.14 = 4,087.95/x
  3. Step 3: Cross multiply
    6,859.77x = 10,264.14 × 4,087.95
  4. Step 4: Simplify right side
    6,859.77x = 41,959,291.11
  5. Step 5: Solve for x
    x = 41,959,291.11/6,859.77
  6. Step 6: Final answer
    x = 6,116.72

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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.