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Finding the Fourth Proportional to 10,435.18, 14,401.02 and 5,959.29

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Solution

The fourth proportional to 10,435.18, 14,401.02 and 5,959.29 is: 8,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.18 : 14,401.02 = 5,959.29 : x
  2. Step 2: Convert to fraction form
    10,435.18/14,401.02 = 5,959.29/x
  3. Step 3: Cross multiply
    10,435.18x = 14,401.02 × 5,959.29
  4. Step 4: Simplify right side
    10,435.18x = 85,819,854.48
  5. Step 5: Solve for x
    x = 85,819,854.48/10,435.18
  6. Step 6: Final answer
    x = 8,224.09

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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.