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Finding the Fourth Proportional to 8,712.74, 12,023.76 and 4,734.11

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Solution

The fourth proportional to 8,712.74, 12,023.76 and 4,734.11 is: 6,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.74 : 12,023.76 = 4,734.11 : x
  2. Step 2: Convert to fraction form
    8,712.74/12,023.76 = 4,734.11/x
  3. Step 3: Cross multiply
    8,712.74x = 12,023.76 × 4,734.11
  4. Step 4: Simplify right side
    8,712.74x = 56,921,850.27
  5. Step 5: Solve for x
    x = 56,921,850.27/8,712.74
  6. Step 6: Final answer
    x = 6,533.17

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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.