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Finding the Fourth Proportional to 10,649.49, 14,696.40 and 5,869.61

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Solution

The fourth proportional to 10,649.49, 14,696.40 and 5,869.61 is: 8,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.49 : 14,696.40 = 5,869.61 : x
  2. Step 2: Convert to fraction form
    10,649.49/14,696.40 = 5,869.61/x
  3. Step 3: Cross multiply
    10,649.49x = 14,696.40 × 5,869.61
  4. Step 4: Simplify right side
    10,649.49x = 86,262,084.99
  5. Step 5: Solve for x
    x = 86,262,084.99/10,649.49
  6. Step 6: Final answer
    x = 8,100.11

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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.