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Finding the Fourth Proportional to 8,560.42, 12,838.08 and 3,629.98

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Solution

The fourth proportional to 8,560.42, 12,838.08 and 3,629.98 is: 5,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.42 : 12,838.08 = 3,629.98 : x
  2. Step 2: Convert to fraction form
    8,560.42/12,838.08 = 3,629.98/x
  3. Step 3: Cross multiply
    8,560.42x = 12,838.08 × 3,629.98
  4. Step 4: Simplify right side
    8,560.42x = 46,601,973.64
  5. Step 5: Solve for x
    x = 46,601,973.64/8,560.42
  6. Step 6: Final answer
    x = 5,443.89

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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.