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Finding the Fourth Proportional to 8,403.36, 12,607.80 and 4,241.40

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Solution

The fourth proportional to 8,403.36, 12,607.80 and 4,241.40 is: 6,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.36 : 12,607.80 = 4,241.40 : x
  2. Step 2: Convert to fraction form
    8,403.36/12,607.80 = 4,241.40/x
  3. Step 3: Cross multiply
    8,403.36x = 12,607.80 × 4,241.40
  4. Step 4: Simplify right side
    8,403.36x = 53,474,722.92
  5. Step 5: Solve for x
    x = 53,474,722.92/8,403.36
  6. Step 6: Final answer
    x = 6,363.49

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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.