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Finding the Fourth Proportional to 7,100.36, 10,649.32 and 2,656.84

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Solution

The fourth proportional to 7,100.36, 10,649.32 and 2,656.84 is: 3,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.36 : 10,649.32 = 2,656.84 : x
  2. Step 2: Convert to fraction form
    7,100.36/10,649.32 = 2,656.84/x
  3. Step 3: Cross multiply
    7,100.36x = 10,649.32 × 2,656.84
  4. Step 4: Simplify right side
    7,100.36x = 28,293,539.35
  5. Step 5: Solve for x
    x = 28,293,539.35/7,100.36
  6. Step 6: Final answer
    x = 3,984.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.