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Finding the Fourth Proportional to 8,403.52, 12,600.96 and 3,784

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Solution

The fourth proportional to 8,403.52, 12,600.96 and 3,784 is: 5,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.52 : 12,600.96 = 3,784 : x
  2. Step 2: Convert to fraction form
    8,403.52/12,600.96 = 3,784/x
  3. Step 3: Cross multiply
    8,403.52x = 12,600.96 × 3,784
  4. Step 4: Simplify right side
    8,403.52x = 47,682,032.64
  5. Step 5: Solve for x
    x = 47,682,032.64/8,403.52
  6. Step 6: Final answer
    x = 5,674.05

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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.