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Finding the Fourth Proportional to 8,389.35, 12,582.90 and 4,009.86

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Solution

The fourth proportional to 8,389.35, 12,582.90 and 4,009.86 is: 6,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.35 : 12,582.90 = 4,009.86 : x
  2. Step 2: Convert to fraction form
    8,389.35/12,582.90 = 4,009.86/x
  3. Step 3: Cross multiply
    8,389.35x = 12,582.90 × 4,009.86
  4. Step 4: Simplify right side
    8,389.35x = 50,455,667.39
  5. Step 5: Solve for x
    x = 50,455,667.39/8,389.35
  6. Step 6: Final answer
    x = 6,014.25

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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.