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Finding the Fourth Proportional to 8,155.68, 12,235.58 and 2,312.34

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Solution

The fourth proportional to 8,155.68, 12,235.58 and 2,312.34 is: 3,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.68 : 12,235.58 = 2,312.34 : x
  2. Step 2: Convert to fraction form
    8,155.68/12,235.58 = 2,312.34/x
  3. Step 3: Cross multiply
    8,155.68x = 12,235.58 × 2,312.34
  4. Step 4: Simplify right side
    8,155.68x = 28,292,809.50
  5. Step 5: Solve for x
    x = 28,292,809.50/8,155.68
  6. Step 6: Final answer
    x = 3,469.09

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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.