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Finding the Fourth Proportional to 10,552.70, 14,563.41 and 6,077.90

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Solution

The fourth proportional to 10,552.70, 14,563.41 and 6,077.90 is: 8,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.70 : 14,563.41 = 6,077.90 : x
  2. Step 2: Convert to fraction form
    10,552.70/14,563.41 = 6,077.90/x
  3. Step 3: Cross multiply
    10,552.70x = 14,563.41 × 6,077.90
  4. Step 4: Simplify right side
    10,552.70x = 88,514,949.64
  5. Step 5: Solve for x
    x = 88,514,949.64/10,552.70
  6. Step 6: Final answer
    x = 8,387.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.