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Finding the Fourth Proportional to 8,664.87, 11,957.52 and 4,685.98

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Solution

The fourth proportional to 8,664.87, 11,957.52 and 4,685.98 is: 6,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.87 : 11,957.52 = 4,685.98 : x
  2. Step 2: Convert to fraction form
    8,664.87/11,957.52 = 4,685.98/x
  3. Step 3: Cross multiply
    8,664.87x = 11,957.52 × 4,685.98
  4. Step 4: Simplify right side
    8,664.87x = 56,032,646.38
  5. Step 5: Solve for x
    x = 56,032,646.38/8,664.87
  6. Step 6: Final answer
    x = 6,466.64

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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.