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Finding the Fourth Proportional to 11,670.78, 16,106.31 and 7,486.14

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Solution

The fourth proportional to 11,670.78, 16,106.31 and 7,486.14 is: 10,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.78 : 16,106.31 = 7,486.14 : x
  2. Step 2: Convert to fraction form
    11,670.78/16,106.31 = 7,486.14/x
  3. Step 3: Cross multiply
    11,670.78x = 16,106.31 × 7,486.14
  4. Step 4: Simplify right side
    11,670.78x = 120,574,091.54
  5. Step 5: Solve for x
    x = 120,574,091.54/11,670.78
  6. Step 6: Final answer
    x = 10,331.28

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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.