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Finding the Fourth Proportional to 8,007.86, 12,005.56 and 5,190.74

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Solution

The fourth proportional to 8,007.86, 12,005.56 and 5,190.74 is: 7,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.86 : 12,005.56 = 5,190.74 : x
  2. Step 2: Convert to fraction form
    8,007.86/12,005.56 = 5,190.74/x
  3. Step 3: Cross multiply
    8,007.86x = 12,005.56 × 5,190.74
  4. Step 4: Simplify right side
    8,007.86x = 62,317,757.55
  5. Step 5: Solve for x
    x = 62,317,757.55/8,007.86
  6. Step 6: Final answer
    x = 7,782.08

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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.