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Finding the Fourth Proportional to 27,862.18, 41,793.12 and 6,802.34

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Solution

The fourth proportional to 27,862.18, 41,793.12 and 6,802.34 is: 10,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.18 : 41,793.12 = 6,802.34 : x
  2. Step 2: Convert to fraction form
    27,862.18/41,793.12 = 6,802.34/x
  3. Step 3: Cross multiply
    27,862.18x = 41,793.12 × 6,802.34
  4. Step 4: Simplify right side
    27,862.18x = 284,290,802.94
  5. Step 5: Solve for x
    x = 284,290,802.94/27,862.18
  6. Step 6: Final answer
    x = 10,203.47

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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.