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Finding the Fourth Proportional to 7,493.13, 11,182.70 and 6,662.77

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Solution

The fourth proportional to 7,493.13, 11,182.70 and 6,662.77 is: 9,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.13 : 11,182.70 = 6,662.77 : x
  2. Step 2: Convert to fraction form
    7,493.13/11,182.70 = 6,662.77/x
  3. Step 3: Cross multiply
    7,493.13x = 11,182.70 × 6,662.77
  4. Step 4: Simplify right side
    7,493.13x = 74,507,758.08
  5. Step 5: Solve for x
    x = 74,507,758.08/7,493.13
  6. Step 6: Final answer
    x = 9,943.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.