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Finding the Fourth Proportional to 8,465.10, 12,698.83 and 3,533.61

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Solution

The fourth proportional to 8,465.10, 12,698.83 and 3,533.61 is: 5,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.10 : 12,698.83 = 3,533.61 : x
  2. Step 2: Convert to fraction form
    8,465.10/12,698.83 = 3,533.61/x
  3. Step 3: Cross multiply
    8,465.10x = 12,698.83 × 3,533.61
  4. Step 4: Simplify right side
    8,465.10x = 44,872,712.68
  5. Step 5: Solve for x
    x = 44,872,712.68/8,465.10
  6. Step 6: Final answer
    x = 5,300.91

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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.