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Finding the Fourth Proportional to 10,649.20, 14,696.22 and 5,869.46

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Solution

The fourth proportional to 10,649.20, 14,696.22 and 5,869.46 is: 8,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.20 : 14,696.22 = 5,869.46 : x
  2. Step 2: Convert to fraction form
    10,649.20/14,696.22 = 5,869.46/x
  3. Step 3: Cross multiply
    10,649.20x = 14,696.22 × 5,869.46
  4. Step 4: Simplify right side
    10,649.20x = 86,258,875.44
  5. Step 5: Solve for x
    x = 86,258,875.44/10,649.20
  6. Step 6: Final answer
    x = 8,100.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.