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Finding the Fourth Proportional to 8,267.62, 12,390.86 and 3,875.40

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Solution

The fourth proportional to 8,267.62, 12,390.86 and 3,875.40 is: 5,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.62 : 12,390.86 = 3,875.40 : x
  2. Step 2: Convert to fraction form
    8,267.62/12,390.86 = 3,875.40/x
  3. Step 3: Cross multiply
    8,267.62x = 12,390.86 × 3,875.40
  4. Step 4: Simplify right side
    8,267.62x = 48,019,538.84
  5. Step 5: Solve for x
    x = 48,019,538.84/8,267.62
  6. Step 6: Final answer
    x = 5,808.15

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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.