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Finding the Fourth Proportional to 8,533.24, 12,798.78 and 3,342.76

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Solution

The fourth proportional to 8,533.24, 12,798.78 and 3,342.76 is: 5,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.24 : 12,798.78 = 3,342.76 : x
  2. Step 2: Convert to fraction form
    8,533.24/12,798.78 = 3,342.76/x
  3. Step 3: Cross multiply
    8,533.24x = 12,798.78 × 3,342.76
  4. Step 4: Simplify right side
    8,533.24x = 42,783,249.83
  5. Step 5: Solve for x
    x = 42,783,249.83/8,533.24
  6. Step 6: Final answer
    x = 5,013.72

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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.