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Finding the Fourth Proportional to 10,693.66, 16,042.50 and 4,119.28

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Solution

The fourth proportional to 10,693.66, 16,042.50 and 4,119.28 is: 6,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.66 : 16,042.50 = 4,119.28 : x
  2. Step 2: Convert to fraction form
    10,693.66/16,042.50 = 4,119.28/x
  3. Step 3: Cross multiply
    10,693.66x = 16,042.50 × 4,119.28
  4. Step 4: Simplify right side
    10,693.66x = 66,083,549.40
  5. Step 5: Solve for x
    x = 66,083,549.40/10,693.66
  6. Step 6: Final answer
    x = 6,179.69

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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.