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Finding the Fourth Proportional to 10,073.40, 13,901.49 and 5,824.59

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Solution

The fourth proportional to 10,073.40, 13,901.49 and 5,824.59 is: 8,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.40 : 13,901.49 = 5,824.59 : x
  2. Step 2: Convert to fraction form
    10,073.40/13,901.49 = 5,824.59/x
  3. Step 3: Cross multiply
    10,073.40x = 13,901.49 × 5,824.59
  4. Step 4: Simplify right side
    10,073.40x = 80,970,479.64
  5. Step 5: Solve for x
    x = 80,970,479.64/10,073.40
  6. Step 6: Final answer
    x = 8,038.05

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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.