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Finding the Fourth Proportional to 10,840.18, 14,959.74 and 6,124.48

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Solution

The fourth proportional to 10,840.18, 14,959.74 and 6,124.48 is: 8,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.18 : 14,959.74 = 6,124.48 : x
  2. Step 2: Convert to fraction form
    10,840.18/14,959.74 = 6,124.48/x
  3. Step 3: Cross multiply
    10,840.18x = 14,959.74 × 6,124.48
  4. Step 4: Simplify right side
    10,840.18x = 91,620,628.44
  5. Step 5: Solve for x
    x = 91,620,628.44/10,840.18
  6. Step 6: Final answer
    x = 8,451.95

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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.