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Finding the Fourth Proportional to 7,261.96, 10,877.10 and 5,693.80

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Solution

The fourth proportional to 7,261.96, 10,877.10 and 5,693.80 is: 8,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.96 : 10,877.10 = 5,693.80 : x
  2. Step 2: Convert to fraction form
    7,261.96/10,877.10 = 5,693.80/x
  3. Step 3: Cross multiply
    7,261.96x = 10,877.10 × 5,693.80
  4. Step 4: Simplify right side
    7,261.96x = 61,932,031.98
  5. Step 5: Solve for x
    x = 61,932,031.98/7,261.96
  6. Step 6: Final answer
    x = 8,528.28

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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.