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Finding the Fourth Proportional to 8,107.24, 12,152.50 and 5,880.50

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Solution

The fourth proportional to 8,107.24, 12,152.50 and 5,880.50 is: 8,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.24 : 12,152.50 = 5,880.50 : x
  2. Step 2: Convert to fraction form
    8,107.24/12,152.50 = 5,880.50/x
  3. Step 3: Cross multiply
    8,107.24x = 12,152.50 × 5,880.50
  4. Step 4: Simplify right side
    8,107.24x = 71,462,700.79
  5. Step 5: Solve for x
    x = 71,462,700.79/8,107.24
  6. Step 6: Final answer
    x = 8,814.68

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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.