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Finding the Fourth Proportional to 8,184.36, 11,295.54 and 4,649.16

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Solution

The fourth proportional to 8,184.36, 11,295.54 and 4,649.16 is: 6,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.36 : 11,295.54 = 4,649.16 : x
  2. Step 2: Convert to fraction form
    8,184.36/11,295.54 = 4,649.16/x
  3. Step 3: Cross multiply
    8,184.36x = 11,295.54 × 4,649.16
  4. Step 4: Simplify right side
    8,184.36x = 52,514,772.75
  5. Step 5: Solve for x
    x = 52,514,772.75/8,184.36
  6. Step 6: Final answer
    x = 6,416.48

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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.