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Finding the Fourth Proportional to 11,649.24, 16,075.98 and 6,681.24

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Solution

The fourth proportional to 11,649.24, 16,075.98 and 6,681.24 is: 9,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.24 : 16,075.98 = 6,681.24 : x
  2. Step 2: Convert to fraction form
    11,649.24/16,075.98 = 6,681.24/x
  3. Step 3: Cross multiply
    11,649.24x = 16,075.98 × 6,681.24
  4. Step 4: Simplify right side
    11,649.24x = 107,407,480.62
  5. Step 5: Solve for x
    x = 107,407,480.62/11,649.24
  6. Step 6: Final answer
    x = 9,220.13

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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.