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Finding the Fourth Proportional to 10,207.91, 15,297.48 and 8,118.65

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Solution

The fourth proportional to 10,207.91, 15,297.48 and 8,118.65 is: 12,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.91 : 15,297.48 = 8,118.65 : x
  2. Step 2: Convert to fraction form
    10,207.91/15,297.48 = 8,118.65/x
  3. Step 3: Cross multiply
    10,207.91x = 15,297.48 × 8,118.65
  4. Step 4: Simplify right side
    10,207.91x = 124,194,809.51
  5. Step 5: Solve for x
    x = 124,194,809.51/10,207.91
  6. Step 6: Final answer
    x = 12,166.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.