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Finding the Fourth Proportional to 11,494.51, 15,862.58 and 6,778.79

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Solution

The fourth proportional to 11,494.51, 15,862.58 and 6,778.79 is: 9,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.51 : 15,862.58 = 6,778.79 : x
  2. Step 2: Convert to fraction form
    11,494.51/15,862.58 = 6,778.79/x
  3. Step 3: Cross multiply
    11,494.51x = 15,862.58 × 6,778.79
  4. Step 4: Simplify right side
    11,494.51x = 107,529,108.51
  5. Step 5: Solve for x
    x = 107,529,108.51/11,494.51
  6. Step 6: Final answer
    x = 9,354.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.