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Finding the Fourth Proportional to 10,191.78, 15,290.46 and 4,349.22

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Solution

The fourth proportional to 10,191.78, 15,290.46 and 4,349.22 is: 6,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.78 : 15,290.46 = 4,349.22 : x
  2. Step 2: Convert to fraction form
    10,191.78/15,290.46 = 4,349.22/x
  3. Step 3: Cross multiply
    10,191.78x = 15,290.46 × 4,349.22
  4. Step 4: Simplify right side
    10,191.78x = 66,501,574.44
  5. Step 5: Solve for x
    x = 66,501,574.44/10,191.78
  6. Step 6: Final answer
    x = 6,525.02

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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.