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Finding the Fourth Proportional to 10,618.36, 14,649.24 and 6,841.24

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Solution

The fourth proportional to 10,618.36, 14,649.24 and 6,841.24 is: 9,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.36 : 14,649.24 = 6,841.24 : x
  2. Step 2: Convert to fraction form
    10,618.36/14,649.24 = 6,841.24/x
  3. Step 3: Cross multiply
    10,618.36x = 14,649.24 × 6,841.24
  4. Step 4: Simplify right side
    10,618.36x = 100,218,966.66
  5. Step 5: Solve for x
    x = 100,218,966.66/10,618.36
  6. Step 6: Final answer
    x = 9,438.27

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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.