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Finding the Fourth Proportional to 8,407.14, 11,601.43 and 4,871.49

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Solution

The fourth proportional to 8,407.14, 11,601.43 and 4,871.49 is: 6,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.14 : 11,601.43 = 4,871.49 : x
  2. Step 2: Convert to fraction form
    8,407.14/11,601.43 = 4,871.49/x
  3. Step 3: Cross multiply
    8,407.14x = 11,601.43 × 4,871.49
  4. Step 4: Simplify right side
    8,407.14x = 56,516,250.23
  5. Step 5: Solve for x
    x = 56,516,250.23/8,407.14
  6. Step 6: Final answer
    x = 6,722.41

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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.