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Finding the Fourth Proportional to 10,194.18, 14,068.18 and 5,718.25

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Solution

The fourth proportional to 10,194.18, 14,068.18 and 5,718.25 is: 7,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.18 : 14,068.18 = 5,718.25 : x
  2. Step 2: Convert to fraction form
    10,194.18/14,068.18 = 5,718.25/x
  3. Step 3: Cross multiply
    10,194.18x = 14,068.18 × 5,718.25
  4. Step 4: Simplify right side
    10,194.18x = 80,445,315.88
  5. Step 5: Solve for x
    x = 80,445,315.88/10,194.18
  6. Step 6: Final answer
    x = 7,891.30

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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.