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Finding the Fourth Proportional to 8,464.57, 12,698.03 and 3,533.08

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Solution

The fourth proportional to 8,464.57, 12,698.03 and 3,533.08 is: 5,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.57 : 12,698.03 = 3,533.08 : x
  2. Step 2: Convert to fraction form
    8,464.57/12,698.03 = 3,533.08/x
  3. Step 3: Cross multiply
    8,464.57x = 12,698.03 × 3,533.08
  4. Step 4: Simplify right side
    8,464.57x = 44,863,155.83
  5. Step 5: Solve for x
    x = 44,863,155.83/8,464.57
  6. Step 6: Final answer
    x = 5,300.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.