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Finding the Fourth Proportional to 10,586.36, 14,575.91 and 8,989.65

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Solution

The fourth proportional to 10,586.36, 14,575.91 and 8,989.65 is: 12,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.36 : 14,575.91 = 8,989.65 : x
  2. Step 2: Convert to fraction form
    10,586.36/14,575.91 = 8,989.65/x
  3. Step 3: Cross multiply
    10,586.36x = 14,575.91 × 8,989.65
  4. Step 4: Simplify right side
    10,586.36x = 131,032,284.38
  5. Step 5: Solve for x
    x = 131,032,284.38/10,586.36
  6. Step 6: Final answer
    x = 12,377.46

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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.