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Finding the Fourth Proportional to 7,561.89, 10,435.80 and 4,204.77

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Solution

The fourth proportional to 7,561.89, 10,435.80 and 4,204.77 is: 5,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.89 : 10,435.80 = 4,204.77 : x
  2. Step 2: Convert to fraction form
    7,561.89/10,435.80 = 4,204.77/x
  3. Step 3: Cross multiply
    7,561.89x = 10,435.80 × 4,204.77
  4. Step 4: Simplify right side
    7,561.89x = 43,880,138.77
  5. Step 5: Solve for x
    x = 43,880,138.77/7,561.89
  6. Step 6: Final answer
    x = 5,802.80

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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.