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Finding the Fourth Proportional to 10,611.38, 14,649.81 and 7,086.26

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Solution

The fourth proportional to 10,611.38, 14,649.81 and 7,086.26 is: 9,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.38 : 14,649.81 = 7,086.26 : x
  2. Step 2: Convert to fraction form
    10,611.38/14,649.81 = 7,086.26/x
  3. Step 3: Cross multiply
    10,611.38x = 14,649.81 × 7,086.26
  4. Step 4: Simplify right side
    10,611.38x = 103,812,362.61
  5. Step 5: Solve for x
    x = 103,812,362.61/10,611.38
  6. Step 6: Final answer
    x = 9,783.12

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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.