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Finding the Fourth Proportional to 7,461.66, 11,193.15 and 3,762

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Solution

The fourth proportional to 7,461.66, 11,193.15 and 3,762 is: 5,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.66 : 11,193.15 = 3,762 : x
  2. Step 2: Convert to fraction form
    7,461.66/11,193.15 = 3,762/x
  3. Step 3: Cross multiply
    7,461.66x = 11,193.15 × 3,762
  4. Step 4: Simplify right side
    7,461.66x = 42,108,630.30
  5. Step 5: Solve for x
    x = 42,108,630.30/7,461.66
  6. Step 6: Final answer
    x = 5,643.33

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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.