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Finding the Fourth Proportional to 8,461.38, 11,675.30 and 5,315.34

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Solution

The fourth proportional to 8,461.38, 11,675.30 and 5,315.34 is: 7,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.38 : 11,675.30 = 5,315.34 : x
  2. Step 2: Convert to fraction form
    8,461.38/11,675.30 = 5,315.34/x
  3. Step 3: Cross multiply
    8,461.38x = 11,675.30 × 5,315.34
  4. Step 4: Simplify right side
    8,461.38x = 62,058,189.10
  5. Step 5: Solve for x
    x = 62,058,189.10/8,461.38
  6. Step 6: Final answer
    x = 7,334.29

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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.