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Finding the Fourth Proportional to 10,194.16, 14,068.14 and 5,717.68

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Solution

The fourth proportional to 10,194.16, 14,068.14 and 5,717.68 is: 7,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.16 : 14,068.14 = 5,717.68 : x
  2. Step 2: Convert to fraction form
    10,194.16/14,068.14 = 5,717.68/x
  3. Step 3: Cross multiply
    10,194.16x = 14,068.14 × 5,717.68
  4. Step 4: Simplify right side
    10,194.16x = 80,437,122.72
  5. Step 5: Solve for x
    x = 80,437,122.72/10,194.16
  6. Step 6: Final answer
    x = 7,890.51

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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.