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Finding the Fourth Proportional to 11,788.30, 16,262.40 and 7,064.38

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Solution

The fourth proportional to 11,788.30, 16,262.40 and 7,064.38 is: 9,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.30 : 16,262.40 = 7,064.38 : x
  2. Step 2: Convert to fraction form
    11,788.30/16,262.40 = 7,064.38/x
  3. Step 3: Cross multiply
    11,788.30x = 16,262.40 × 7,064.38
  4. Step 4: Simplify right side
    11,788.30x = 114,883,773.31
  5. Step 5: Solve for x
    x = 114,883,773.31/11,788.30
  6. Step 6: Final answer
    x = 9,745.58

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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.