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Finding the Fourth Proportional to 8,510.52, 12,773.85 and 5,230.02

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Solution

The fourth proportional to 8,510.52, 12,773.85 and 5,230.02 is: 7,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.52 : 12,773.85 = 5,230.02 : x
  2. Step 2: Convert to fraction form
    8,510.52/12,773.85 = 5,230.02/x
  3. Step 3: Cross multiply
    8,510.52x = 12,773.85 × 5,230.02
  4. Step 4: Simplify right side
    8,510.52x = 66,807,490.98
  5. Step 5: Solve for x
    x = 66,807,490.98/8,510.52
  6. Step 6: Final answer
    x = 7,849.99

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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.