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Finding the Fourth Proportional to 10,195.78, 15,292.32 and 4,643.14

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Solution

The fourth proportional to 10,195.78, 15,292.32 and 4,643.14 is: 6,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.78 : 15,292.32 = 4,643.14 : x
  2. Step 2: Convert to fraction form
    10,195.78/15,292.32 = 4,643.14/x
  3. Step 3: Cross multiply
    10,195.78x = 15,292.32 × 4,643.14
  4. Step 4: Simplify right side
    10,195.78x = 71,004,382.68
  5. Step 5: Solve for x
    x = 71,004,382.68/10,195.78
  6. Step 6: Final answer
    x = 6,964.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.