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Finding the Fourth Proportional to 10,194.54, 14,068.25 and 5,718.20

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Solution

The fourth proportional to 10,194.54, 14,068.25 and 5,718.20 is: 7,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.54 : 14,068.25 = 5,718.20 : x
  2. Step 2: Convert to fraction form
    10,194.54/14,068.25 = 5,718.20/x
  3. Step 3: Cross multiply
    10,194.54x = 14,068.25 × 5,718.20
  4. Step 4: Simplify right side
    10,194.54x = 80,444,968.22
  5. Step 5: Solve for x
    x = 80,444,968.22/10,194.54
  6. Step 6: Final answer
    x = 7,890.99

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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.