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Finding the Fourth Proportional to 7,561.91, 10,435.77 and 4,204.60

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Solution

The fourth proportional to 7,561.91, 10,435.77 and 4,204.60 is: 5,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.91 : 10,435.77 = 4,204.60 : x
  2. Step 2: Convert to fraction form
    7,561.91/10,435.77 = 4,204.60/x
  3. Step 3: Cross multiply
    7,561.91x = 10,435.77 × 4,204.60
  4. Step 4: Simplify right side
    7,561.91x = 43,878,212.45
  5. Step 5: Solve for x
    x = 43,878,212.45/7,561.91
  6. Step 6: Final answer
    x = 5,802.53

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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.