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Finding the Fourth Proportional to 10,375.16, 14,297.18 and 7,382.61

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Solution

The fourth proportional to 10,375.16, 14,297.18 and 7,382.61 is: 10,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.16 : 14,297.18 = 7,382.61 : x
  2. Step 2: Convert to fraction form
    10,375.16/14,297.18 = 7,382.61/x
  3. Step 3: Cross multiply
    10,375.16x = 14,297.18 × 7,382.61
  4. Step 4: Simplify right side
    10,375.16x = 105,550,467.13
  5. Step 5: Solve for x
    x = 105,550,467.13/10,375.16
  6. Step 6: Final answer
    x = 10,173.39

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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.