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Finding the Fourth Proportional to 13,106.78, 18,086.94 and 7,656.86

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Solution

The fourth proportional to 13,106.78, 18,086.94 and 7,656.86 is: 10,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.78 : 18,086.94 = 7,656.86 : x
  2. Step 2: Convert to fraction form
    13,106.78/18,086.94 = 7,656.86/x
  3. Step 3: Cross multiply
    13,106.78x = 18,086.94 × 7,656.86
  4. Step 4: Simplify right side
    13,106.78x = 138,489,167.41
  5. Step 5: Solve for x
    x = 138,489,167.41/13,106.78
  6. Step 6: Final answer
    x = 10,566.22

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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.