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Finding the Fourth Proportional to 11,800.90, 17,671.78 and 7,054.14

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Solution

The fourth proportional to 11,800.90, 17,671.78 and 7,054.14 is: 10,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.90 : 17,671.78 = 7,054.14 : x
  2. Step 2: Convert to fraction form
    11,800.90/17,671.78 = 7,054.14/x
  3. Step 3: Cross multiply
    11,800.90x = 17,671.78 × 7,054.14
  4. Step 4: Simplify right side
    11,800.90x = 124,659,210.17
  5. Step 5: Solve for x
    x = 124,659,210.17/11,800.90
  6. Step 6: Final answer
    x = 10,563.53

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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.