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Finding the Fourth Proportional to 11,788.61, 17,658.66 and 6,230.22

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Solution

The fourth proportional to 11,788.61, 17,658.66 and 6,230.22 is: 9,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.61 : 17,658.66 = 6,230.22 : x
  2. Step 2: Convert to fraction form
    11,788.61/17,658.66 = 6,230.22/x
  3. Step 3: Cross multiply
    11,788.61x = 17,658.66 × 6,230.22
  4. Step 4: Simplify right side
    11,788.61x = 110,017,258.80
  5. Step 5: Solve for x
    x = 110,017,258.80/11,788.61
  6. Step 6: Final answer
    x = 9,332.50

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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.