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Finding the Fourth Proportional to 11,651.61, 16,078.55 and 6,871.75

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Solution

The fourth proportional to 11,651.61, 16,078.55 and 6,871.75 is: 9,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.61 : 16,078.55 = 6,871.75 : x
  2. Step 2: Convert to fraction form
    11,651.61/16,078.55 = 6,871.75/x
  3. Step 3: Cross multiply
    11,651.61x = 16,078.55 × 6,871.75
  4. Step 4: Simplify right side
    11,651.61x = 110,487,788.11
  5. Step 5: Solve for x
    x = 110,487,788.11/11,651.61
  6. Step 6: Final answer
    x = 9,482.62

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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.