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Finding the Fourth Proportional to 10,226.25, 15,342.98 and 5,035.77

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Solution

The fourth proportional to 10,226.25, 15,342.98 and 5,035.77 is: 7,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.25 : 15,342.98 = 5,035.77 : x
  2. Step 2: Convert to fraction form
    10,226.25/15,342.98 = 5,035.77/x
  3. Step 3: Cross multiply
    10,226.25x = 15,342.98 × 5,035.77
  4. Step 4: Simplify right side
    10,226.25x = 77,263,693.22
  5. Step 5: Solve for x
    x = 77,263,693.22/10,226.25
  6. Step 6: Final answer
    x = 7,555.43

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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.