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Finding the Fourth Proportional to 10,068.14, 13,894.49 and 5,591.91

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Solution

The fourth proportional to 10,068.14, 13,894.49 and 5,591.91 is: 7,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.14 : 13,894.49 = 5,591.91 : x
  2. Step 2: Convert to fraction form
    10,068.14/13,894.49 = 5,591.91/x
  3. Step 3: Cross multiply
    10,068.14x = 13,894.49 × 5,591.91
  4. Step 4: Simplify right side
    10,068.14x = 77,696,668.10
  5. Step 5: Solve for x
    x = 77,696,668.10/10,068.14
  6. Step 6: Final answer
    x = 7,717.09

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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.