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Finding the Fourth Proportional to 10,874.16, 15,006.13 and 6,094.08

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Solution

The fourth proportional to 10,874.16, 15,006.13 and 6,094.08 is: 8,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.16 : 15,006.13 = 6,094.08 : x
  2. Step 2: Convert to fraction form
    10,874.16/15,006.13 = 6,094.08/x
  3. Step 3: Cross multiply
    10,874.16x = 15,006.13 × 6,094.08
  4. Step 4: Simplify right side
    10,874.16x = 91,448,556.71
  5. Step 5: Solve for x
    x = 91,448,556.71/10,874.16
  6. Step 6: Final answer
    x = 8,409.71

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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.