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Finding the Fourth Proportional to 13,091.36, 18,064.72 and 7,785.15

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Solution

The fourth proportional to 13,091.36, 18,064.72 and 7,785.15 is: 10,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.36 : 18,064.72 = 7,785.15 : x
  2. Step 2: Convert to fraction form
    13,091.36/18,064.72 = 7,785.15/x
  3. Step 3: Cross multiply
    13,091.36x = 18,064.72 × 7,785.15
  4. Step 4: Simplify right side
    13,091.36x = 140,636,496.90
  5. Step 5: Solve for x
    x = 140,636,496.90/13,091.36
  6. Step 6: Final answer
    x = 10,742.70

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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.