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Finding the Fourth Proportional to 27,002.75, 40,510.62 and 8,534.75

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Solution

The fourth proportional to 27,002.75, 40,510.62 and 8,534.75 is: 12,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.75 : 40,510.62 = 8,534.75 : x
  2. Step 2: Convert to fraction form
    27,002.75/40,510.62 = 8,534.75/x
  3. Step 3: Cross multiply
    27,002.75x = 40,510.62 × 8,534.75
  4. Step 4: Simplify right side
    27,002.75x = 345,748,014.05
  5. Step 5: Solve for x
    x = 345,748,014.05/27,002.75
  6. Step 6: Final answer
    x = 12,804.18

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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.