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Finding the Fourth Proportional to 8,029.17, 11,079.94 and 4,492.38

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Solution

The fourth proportional to 8,029.17, 11,079.94 and 4,492.38 is: 6,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.17 : 11,079.94 = 4,492.38 : x
  2. Step 2: Convert to fraction form
    8,029.17/11,079.94 = 4,492.38/x
  3. Step 3: Cross multiply
    8,029.17x = 11,079.94 × 4,492.38
  4. Step 4: Simplify right side
    8,029.17x = 49,775,278.40
  5. Step 5: Solve for x
    x = 49,775,278.40/8,029.17
  6. Step 6: Final answer
    x = 6,199.31

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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.