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Finding the Fourth Proportional to 7,314.15, 10,092.06 and 4,330.38

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Solution

The fourth proportional to 7,314.15, 10,092.06 and 4,330.38 is: 5,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.15 : 10,092.06 = 4,330.38 : x
  2. Step 2: Convert to fraction form
    7,314.15/10,092.06 = 4,330.38/x
  3. Step 3: Cross multiply
    7,314.15x = 10,092.06 × 4,330.38
  4. Step 4: Simplify right side
    7,314.15x = 43,702,454.78
  5. Step 5: Solve for x
    x = 43,702,454.78/7,314.15
  6. Step 6: Final answer
    x = 5,975.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.