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Finding the Fourth Proportional to 10,649.58, 14,696.51 and 5,869.69

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Solution

The fourth proportional to 10,649.58, 14,696.51 and 5,869.69 is: 8,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.58 : 14,696.51 = 5,869.69 : x
  2. Step 2: Convert to fraction form
    10,649.58/14,696.51 = 5,869.69/x
  3. Step 3: Cross multiply
    10,649.58x = 14,696.51 × 5,869.69
  4. Step 4: Simplify right side
    10,649.58x = 86,264,009.20
  5. Step 5: Solve for x
    x = 86,264,009.20/10,649.58
  6. Step 6: Final answer
    x = 8,100.23

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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.