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Finding the Fourth Proportional to 8,734.78, 12,054.22 and 4,756.11

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Solution

The fourth proportional to 8,734.78, 12,054.22 and 4,756.11 is: 6,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.78 : 12,054.22 = 4,756.11 : x
  2. Step 2: Convert to fraction form
    8,734.78/12,054.22 = 4,756.11/x
  3. Step 3: Cross multiply
    8,734.78x = 12,054.22 × 4,756.11
  4. Step 4: Simplify right side
    8,734.78x = 57,331,184.39
  5. Step 5: Solve for x
    x = 57,331,184.39/8,734.78
  6. Step 6: Final answer
    x = 6,563.55

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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.