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Finding the Fourth Proportional to 8,310.30, 12,465.45 and 8,237.40

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Solution

The fourth proportional to 8,310.30, 12,465.45 and 8,237.40 is: 12,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.30 : 12,465.45 = 8,237.40 : x
  2. Step 2: Convert to fraction form
    8,310.30/12,465.45 = 8,237.40/x
  3. Step 3: Cross multiply
    8,310.30x = 12,465.45 × 8,237.40
  4. Step 4: Simplify right side
    8,310.30x = 102,682,897.83
  5. Step 5: Solve for x
    x = 102,682,897.83/8,310.30
  6. Step 6: Final answer
    x = 12,356.10

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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.