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Finding the Fourth Proportional to 8,187.75, 11,298.78 and 4,650.59

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Solution

The fourth proportional to 8,187.75, 11,298.78 and 4,650.59 is: 6,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.75 : 11,298.78 = 4,650.59 : x
  2. Step 2: Convert to fraction form
    8,187.75/11,298.78 = 4,650.59/x
  3. Step 3: Cross multiply
    8,187.75x = 11,298.78 × 4,650.59
  4. Step 4: Simplify right side
    8,187.75x = 52,545,936.79
  5. Step 5: Solve for x
    x = 52,545,936.79/8,187.75
  6. Step 6: Final answer
    x = 6,417.63

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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.