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Finding the Fourth Proportional to 7,119.78, 10,663.74 and 4,114.14

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Solution

The fourth proportional to 7,119.78, 10,663.74 and 4,114.14 is: 6,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.78 : 10,663.74 = 4,114.14 : x
  2. Step 2: Convert to fraction form
    7,119.78/10,663.74 = 4,114.14/x
  3. Step 3: Cross multiply
    7,119.78x = 10,663.74 × 4,114.14
  4. Step 4: Simplify right side
    7,119.78x = 43,872,119.28
  5. Step 5: Solve for x
    x = 43,872,119.28/7,119.78
  6. Step 6: Final answer
    x = 6,162.00

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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.