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Finding the Fourth Proportional to 12,885.57, 17,778.63 and 7,779.83

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Solution

The fourth proportional to 12,885.57, 17,778.63 and 7,779.83 is: 10,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.57 : 17,778.63 = 7,779.83 : x
  2. Step 2: Convert to fraction form
    12,885.57/17,778.63 = 7,779.83/x
  3. Step 3: Cross multiply
    12,885.57x = 17,778.63 × 7,779.83
  4. Step 4: Simplify right side
    12,885.57x = 138,314,719.03
  5. Step 5: Solve for x
    x = 138,314,719.03/12,885.57
  6. Step 6: Final answer
    x = 10,734.08

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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.