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Finding the Fourth Proportional to 8,426.16, 11,627.44 and 4,649.47

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Solution

The fourth proportional to 8,426.16, 11,627.44 and 4,649.47 is: 6,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.16 : 11,627.44 = 4,649.47 : x
  2. Step 2: Convert to fraction form
    8,426.16/11,627.44 = 4,649.47/x
  3. Step 3: Cross multiply
    8,426.16x = 11,627.44 × 4,649.47
  4. Step 4: Simplify right side
    8,426.16x = 54,061,433.46
  5. Step 5: Solve for x
    x = 54,061,433.46/8,426.16
  6. Step 6: Final answer
    x = 6,415.90

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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.