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Finding the Fourth Proportional to 10,194.16, 14,068.64 and 5,718.20

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Solution

The fourth proportional to 10,194.16, 14,068.64 and 5,718.20 is: 7,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.16 : 14,068.64 = 5,718.20 : x
  2. Step 2: Convert to fraction form
    10,194.16/14,068.64 = 5,718.20/x
  3. Step 3: Cross multiply
    10,194.16x = 14,068.64 × 5,718.20
  4. Step 4: Simplify right side
    10,194.16x = 80,447,241.20
  5. Step 5: Solve for x
    x = 80,447,241.20/10,194.16
  6. Step 6: Final answer
    x = 7,891.50

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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.