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Finding the Fourth Proportional to 8,184.71, 11,295.82 and 4,648.52

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Solution

The fourth proportional to 8,184.71, 11,295.82 and 4,648.52 is: 6,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.71 : 11,295.82 = 4,648.52 : x
  2. Step 2: Convert to fraction form
    8,184.71/11,295.82 = 4,648.52/x
  3. Step 3: Cross multiply
    8,184.71x = 11,295.82 × 4,648.52
  4. Step 4: Simplify right side
    8,184.71x = 52,508,879.24
  5. Step 5: Solve for x
    x = 52,508,879.24/8,184.71
  6. Step 6: Final answer
    x = 6,415.48

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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.