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Finding the Fourth Proportional to 10,194.39, 14,069.84 and 5,719.95

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Solution

The fourth proportional to 10,194.39, 14,069.84 and 5,719.95 is: 7,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.39 : 14,069.84 = 5,719.95 : x
  2. Step 2: Convert to fraction form
    10,194.39/14,069.84 = 5,719.95/x
  3. Step 3: Cross multiply
    10,194.39x = 14,069.84 × 5,719.95
  4. Step 4: Simplify right side
    10,194.39x = 80,478,752.71
  5. Step 5: Solve for x
    x = 80,478,752.71/10,194.39
  6. Step 6: Final answer
    x = 7,894.42

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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.