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Finding the Fourth Proportional to 10,194.27, 14,068.05 and 5,718.08

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Solution

The fourth proportional to 10,194.27, 14,068.05 and 5,718.08 is: 7,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.27 : 14,068.05 = 5,718.08 : x
  2. Step 2: Convert to fraction form
    10,194.27/14,068.05 = 5,718.08/x
  3. Step 3: Cross multiply
    10,194.27x = 14,068.05 × 5,718.08
  4. Step 4: Simplify right side
    10,194.27x = 80,442,165.00
  5. Step 5: Solve for x
    x = 80,442,165.00/10,194.27
  6. Step 6: Final answer
    x = 7,890.92

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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.