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Finding the Fourth Proportional to 8,358.30, 12,519.50 and 7,867.67

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Solution

The fourth proportional to 8,358.30, 12,519.50 and 7,867.67 is: 11,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.30 : 12,519.50 = 7,867.67 : x
  2. Step 2: Convert to fraction form
    8,358.30/12,519.50 = 7,867.67/x
  3. Step 3: Cross multiply
    8,358.30x = 12,519.50 × 7,867.67
  4. Step 4: Simplify right side
    8,358.30x = 98,499,192.63
  5. Step 5: Solve for x
    x = 98,499,192.63/8,358.30
  6. Step 6: Final answer
    x = 11,784.60

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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.