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Finding the Fourth Proportional to 8,287.31, 11,436.30 and 4,510.49

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Solution

The fourth proportional to 8,287.31, 11,436.30 and 4,510.49 is: 6,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.31 : 11,436.30 = 4,510.49 : x
  2. Step 2: Convert to fraction form
    8,287.31/11,436.30 = 4,510.49/x
  3. Step 3: Cross multiply
    8,287.31x = 11,436.30 × 4,510.49
  4. Step 4: Simplify right side
    8,287.31x = 51,583,259.61
  5. Step 5: Solve for x
    x = 51,583,259.61/8,287.31
  6. Step 6: Final answer
    x = 6,224.37

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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.