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Finding the Fourth Proportional to 8,140.41, 11,233.08 and 4,602.87

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Solution

The fourth proportional to 8,140.41, 11,233.08 and 4,602.87 is: 6,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.41 : 11,233.08 = 4,602.87 : x
  2. Step 2: Convert to fraction form
    8,140.41/11,233.08 = 4,602.87/x
  3. Step 3: Cross multiply
    8,140.41x = 11,233.08 × 4,602.87
  4. Step 4: Simplify right side
    8,140.41x = 51,704,406.94
  5. Step 5: Solve for x
    x = 51,704,406.94/8,140.41
  6. Step 6: Final answer
    x = 6,351.57

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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.