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Finding the Fourth Proportional to 11,870.78, 16,382.10 and 7,679.02

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Solution

The fourth proportional to 11,870.78, 16,382.10 and 7,679.02 is: 10,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.78 : 16,382.10 = 7,679.02 : x
  2. Step 2: Convert to fraction form
    11,870.78/16,382.10 = 7,679.02/x
  3. Step 3: Cross multiply
    11,870.78x = 16,382.10 × 7,679.02
  4. Step 4: Simplify right side
    11,870.78x = 125,798,473.54
  5. Step 5: Solve for x
    x = 125,798,473.54/11,870.78
  6. Step 6: Final answer
    x = 10,597.32

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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.