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Finding the Fourth Proportional to 8,509.23, 12,750.51 and 5,382.63

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Solution

The fourth proportional to 8,509.23, 12,750.51 and 5,382.63 is: 8,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.23 : 12,750.51 = 5,382.63 : x
  2. Step 2: Convert to fraction form
    8,509.23/12,750.51 = 5,382.63/x
  3. Step 3: Cross multiply
    8,509.23x = 12,750.51 × 5,382.63
  4. Step 4: Simplify right side
    8,509.23x = 68,631,234.48
  5. Step 5: Solve for x
    x = 68,631,234.48/8,509.23
  6. Step 6: Final answer
    x = 8,065.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.