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Finding the Fourth Proportional to 10,649.30, 14,696.02 and 5,869.30

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Solution

The fourth proportional to 10,649.30, 14,696.02 and 5,869.30 is: 8,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.30 : 14,696.02 = 5,869.30 : x
  2. Step 2: Convert to fraction form
    10,649.30/14,696.02 = 5,869.30/x
  3. Step 3: Cross multiply
    10,649.30x = 14,696.02 × 5,869.30
  4. Step 4: Simplify right side
    10,649.30x = 86,255,350.19
  5. Step 5: Solve for x
    x = 86,255,350.19/10,649.30
  6. Step 6: Final answer
    x = 8,099.63

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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.