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Finding the Fourth Proportional to 10,898.82, 15,035.22 and 7,363.26

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Solution

The fourth proportional to 10,898.82, 15,035.22 and 7,363.26 is: 10,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.82 : 15,035.22 = 7,363.26 : x
  2. Step 2: Convert to fraction form
    10,898.82/15,035.22 = 7,363.26/x
  3. Step 3: Cross multiply
    10,898.82x = 15,035.22 × 7,363.26
  4. Step 4: Simplify right side
    10,898.82x = 110,708,234.02
  5. Step 5: Solve for x
    x = 110,708,234.02/10,898.82
  6. Step 6: Final answer
    x = 10,157.82

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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.