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Finding the Fourth Proportional to 12,591.74, 18,887.16 and 5,190.64

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Solution

The fourth proportional to 12,591.74, 18,887.16 and 5,190.64 is: 7,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.74 : 18,887.16 = 5,190.64 : x
  2. Step 2: Convert to fraction form
    12,591.74/18,887.16 = 5,190.64/x
  3. Step 3: Cross multiply
    12,591.74x = 18,887.16 × 5,190.64
  4. Step 4: Simplify right side
    12,591.74x = 98,036,448.18
  5. Step 5: Solve for x
    x = 98,036,448.18/12,591.74
  6. Step 6: Final answer
    x = 7,785.77

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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.