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Finding the Fourth Proportional to 8,215.52, 11,336.78 and 4,678.02

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Solution

The fourth proportional to 8,215.52, 11,336.78 and 4,678.02 is: 6,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.52 : 11,336.78 = 4,678.02 : x
  2. Step 2: Convert to fraction form
    8,215.52/11,336.78 = 4,678.02/x
  3. Step 3: Cross multiply
    8,215.52x = 11,336.78 × 4,678.02
  4. Step 4: Simplify right side
    8,215.52x = 53,033,695.27
  5. Step 5: Solve for x
    x = 53,033,695.27/8,215.52
  6. Step 6: Final answer
    x = 6,455.31

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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.