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Finding the Fourth Proportional to 13,091.40, 18,068.72 and 7,785.18

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Solution

The fourth proportional to 13,091.40, 18,068.72 and 7,785.18 is: 10,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.40 : 18,068.72 = 7,785.18 : x
  2. Step 2: Convert to fraction form
    13,091.40/18,068.72 = 7,785.18/x
  3. Step 3: Cross multiply
    13,091.40x = 18,068.72 × 7,785.18
  4. Step 4: Simplify right side
    13,091.40x = 140,668,198.64
  5. Step 5: Solve for x
    x = 140,668,198.64/13,091.40
  6. Step 6: Final answer
    x = 10,745.08

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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.