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Finding the Fourth Proportional to 8,659.49, 12,989.23 and 2,085.67

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Solution

The fourth proportional to 8,659.49, 12,989.23 and 2,085.67 is: 3,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.49 : 12,989.23 = 2,085.67 : x
  2. Step 2: Convert to fraction form
    8,659.49/12,989.23 = 2,085.67/x
  3. Step 3: Cross multiply
    8,659.49x = 12,989.23 × 2,085.67
  4. Step 4: Simplify right side
    8,659.49x = 27,091,214.86
  5. Step 5: Solve for x
    x = 27,091,214.86/8,659.49
  6. Step 6: Final answer
    x = 3,128.50

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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.