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Finding the Fourth Proportional to 7,486.15, 10,330.18 and 4,342

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Solution

The fourth proportional to 7,486.15, 10,330.18 and 4,342 is: 5,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.15 : 10,330.18 = 4,342 : x
  2. Step 2: Convert to fraction form
    7,486.15/10,330.18 = 4,342/x
  3. Step 3: Cross multiply
    7,486.15x = 10,330.18 × 4,342
  4. Step 4: Simplify right side
    7,486.15x = 44,853,641.56
  5. Step 5: Solve for x
    x = 44,853,641.56/7,486.15
  6. Step 6: Final answer
    x = 5,991.55

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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.