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Finding the Fourth Proportional to 7,716.84, 10,649.25 and 4,180.05

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Solution

The fourth proportional to 7,716.84, 10,649.25 and 4,180.05 is: 5,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.84 : 10,649.25 = 4,180.05 : x
  2. Step 2: Convert to fraction form
    7,716.84/10,649.25 = 4,180.05/x
  3. Step 3: Cross multiply
    7,716.84x = 10,649.25 × 4,180.05
  4. Step 4: Simplify right side
    7,716.84x = 44,514,397.46
  5. Step 5: Solve for x
    x = 44,514,397.46/7,716.84
  6. Step 6: Final answer
    x = 5,768.47

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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.