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Finding the Fourth Proportional to 8,712.38, 12,023.06 and 4,733.58

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Solution

The fourth proportional to 8,712.38, 12,023.06 and 4,733.58 is: 6,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.38 : 12,023.06 = 4,733.58 : x
  2. Step 2: Convert to fraction form
    8,712.38/12,023.06 = 4,733.58/x
  3. Step 3: Cross multiply
    8,712.38x = 12,023.06 × 4,733.58
  4. Step 4: Simplify right side
    8,712.38x = 56,912,116.35
  5. Step 5: Solve for x
    x = 56,912,116.35/8,712.38
  6. Step 6: Final answer
    x = 6,532.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.