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Finding the Fourth Proportional to 10,366.66, 14,297.90 and 7,181.16

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Solution

The fourth proportional to 10,366.66, 14,297.90 and 7,181.16 is: 9,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.66 : 14,297.90 = 7,181.16 : x
  2. Step 2: Convert to fraction form
    10,366.66/14,297.90 = 7,181.16/x
  3. Step 3: Cross multiply
    10,366.66x = 14,297.90 × 7,181.16
  4. Step 4: Simplify right side
    10,366.66x = 102,675,498.65
  5. Step 5: Solve for x
    x = 102,675,498.65/10,366.66
  6. Step 6: Final answer
    x = 9,904.39

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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.