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Finding the Fourth Proportional to 8,825.08, 13,237.62 and 4,207

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Solution

The fourth proportional to 8,825.08, 13,237.62 and 4,207 is: 6,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.08 : 13,237.62 = 4,207 : x
  2. Step 2: Convert to fraction form
    8,825.08/13,237.62 = 4,207/x
  3. Step 3: Cross multiply
    8,825.08x = 13,237.62 × 4,207
  4. Step 4: Simplify right side
    8,825.08x = 55,690,667.34
  5. Step 5: Solve for x
    x = 55,690,667.34/8,825.08
  6. Step 6: Final answer
    x = 6,310.50

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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.