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Finding the Fourth Proportional to 8,400.15, 11,600.46 and 7,612.83

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Solution

The fourth proportional to 8,400.15, 11,600.46 and 7,612.83 is: 10,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.15 : 11,600.46 = 7,612.83 : x
  2. Step 2: Convert to fraction form
    8,400.15/11,600.46 = 7,612.83/x
  3. Step 3: Cross multiply
    8,400.15x = 11,600.46 × 7,612.83
  4. Step 4: Simplify right side
    8,400.15x = 88,312,329.90
  5. Step 5: Solve for x
    x = 88,312,329.90/8,400.15
  6. Step 6: Final answer
    x = 10,513.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.