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Finding the Fourth Proportional to 11,344.95, 15,642.46 and 7,364.61

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Solution

The fourth proportional to 11,344.95, 15,642.46 and 7,364.61 is: 10,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.95 : 15,642.46 = 7,364.61 : x
  2. Step 2: Convert to fraction form
    11,344.95/15,642.46 = 7,364.61/x
  3. Step 3: Cross multiply
    11,344.95x = 15,642.46 × 7,364.61
  4. Step 4: Simplify right side
    11,344.95x = 115,200,617.34
  5. Step 5: Solve for x
    x = 115,200,617.34/11,344.95
  6. Step 6: Final answer
    x = 10,154.35

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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.