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Finding the Fourth Proportional to 10,039.34, 13,854.38 and 5,563.14

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Solution

The fourth proportional to 10,039.34, 13,854.38 and 5,563.14 is: 7,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.34 : 13,854.38 = 5,563.14 : x
  2. Step 2: Convert to fraction form
    10,039.34/13,854.38 = 5,563.14/x
  3. Step 3: Cross multiply
    10,039.34x = 13,854.38 × 5,563.14
  4. Step 4: Simplify right side
    10,039.34x = 77,073,827.74
  5. Step 5: Solve for x
    x = 77,073,827.74/10,039.34
  6. Step 6: Final answer
    x = 7,677.18

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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.