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Finding the Fourth Proportional to 11,380.16, 17,062.94 and 7,860.30

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Solution

The fourth proportional to 11,380.16, 17,062.94 and 7,860.30 is: 11,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.16 : 17,062.94 = 7,860.30 : x
  2. Step 2: Convert to fraction form
    11,380.16/17,062.94 = 7,860.30/x
  3. Step 3: Cross multiply
    11,380.16x = 17,062.94 × 7,860.30
  4. Step 4: Simplify right side
    11,380.16x = 134,119,827.28
  5. Step 5: Solve for x
    x = 134,119,827.28/11,380.16
  6. Step 6: Final answer
    x = 11,785.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.