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Finding the Fourth Proportional to 8,953.23, 12,355.34 and 4,974.24

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Solution

The fourth proportional to 8,953.23, 12,355.34 and 4,974.24 is: 6,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.23 : 12,355.34 = 4,974.24 : x
  2. Step 2: Convert to fraction form
    8,953.23/12,355.34 = 4,974.24/x
  3. Step 3: Cross multiply
    8,953.23x = 12,355.34 × 4,974.24
  4. Step 4: Simplify right side
    8,953.23x = 61,458,447.90
  5. Step 5: Solve for x
    x = 61,458,447.90/8,953.23
  6. Step 6: Final answer
    x = 6,864.39

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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.