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Finding the Fourth Proportional to 7,058.67, 10,588 and 3,761.76

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Solution

The fourth proportional to 7,058.67, 10,588 and 3,761.76 is: 5,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.67 : 10,588 = 3,761.76 : x
  2. Step 2: Convert to fraction form
    7,058.67/10,588 = 3,761.76/x
  3. Step 3: Cross multiply
    7,058.67x = 10,588 × 3,761.76
  4. Step 4: Simplify right side
    7,058.67x = 39,829,514.88
  5. Step 5: Solve for x
    x = 39,829,514.88/7,058.67
  6. Step 6: Final answer
    x = 5,642.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.