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Finding the Fourth Proportional to 12,074.77, 16,647.60 and 7,818.27

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Solution

The fourth proportional to 12,074.77, 16,647.60 and 7,818.27 is: 10,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.77 : 16,647.60 = 7,818.27 : x
  2. Step 2: Convert to fraction form
    12,074.77/16,647.60 = 7,818.27/x
  3. Step 3: Cross multiply
    12,074.77x = 16,647.60 × 7,818.27
  4. Step 4: Simplify right side
    12,074.77x = 130,155,431.65
  5. Step 5: Solve for x
    x = 130,155,431.65/12,074.77
  6. Step 6: Final answer
    x = 10,779.12

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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.