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Finding the Fourth Proportional to 10,552.41, 14,563.44 and 6,077.34

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Solution

The fourth proportional to 10,552.41, 14,563.44 and 6,077.34 is: 8,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.41 : 14,563.44 = 6,077.34 : x
  2. Step 2: Convert to fraction form
    10,552.41/14,563.44 = 6,077.34/x
  3. Step 3: Cross multiply
    10,552.41x = 14,563.44 × 6,077.34
  4. Step 4: Simplify right side
    10,552.41x = 88,506,976.45
  5. Step 5: Solve for x
    x = 88,506,976.45/10,552.41
  6. Step 6: Final answer
    x = 8,387.37

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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.