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Finding the Fourth Proportional to 8,607, 11,876.92 and 4,829.65

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Solution

The fourth proportional to 8,607, 11,876.92 and 4,829.65 is: 6,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607 : 11,876.92 = 4,829.65 : x
  2. Step 2: Convert to fraction form
    8,607/11,876.92 = 4,829.65/x
  3. Step 3: Cross multiply
    8,607x = 11,876.92 × 4,829.65
  4. Step 4: Simplify right side
    8,607x = 57,361,366.68
  5. Step 5: Solve for x
    x = 57,361,366.68/8,607
  6. Step 6: Final answer
    x = 6,664.50

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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.