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Finding the Fourth Proportional to 10,675.10, 14,731.64 and 5,959.38

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Solution

The fourth proportional to 10,675.10, 14,731.64 and 5,959.38 is: 8,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.10 : 14,731.64 = 5,959.38 : x
  2. Step 2: Convert to fraction form
    10,675.10/14,731.64 = 5,959.38/x
  3. Step 3: Cross multiply
    10,675.10x = 14,731.64 × 5,959.38
  4. Step 4: Simplify right side
    10,675.10x = 87,791,355.74
  5. Step 5: Solve for x
    x = 87,791,355.74/10,675.10
  6. Step 6: Final answer
    x = 8,223.94

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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.