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Finding the Fourth Proportional to 8,184.40, 11,295.12 and 4,648.48

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Solution

The fourth proportional to 8,184.40, 11,295.12 and 4,648.48 is: 6,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.40 : 11,295.12 = 4,648.48 : x
  2. Step 2: Convert to fraction form
    8,184.40/11,295.12 = 4,648.48/x
  3. Step 3: Cross multiply
    8,184.40x = 11,295.12 × 4,648.48
  4. Step 4: Simplify right side
    8,184.40x = 52,505,139.42
  5. Step 5: Solve for x
    x = 52,505,139.42/8,184.40
  6. Step 6: Final answer
    x = 6,415.27

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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.