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Finding the Fourth Proportional to 10,342.87, 15,524.03 and 5,416.05

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Solution

The fourth proportional to 10,342.87, 15,524.03 and 5,416.05 is: 8,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.87 : 15,524.03 = 5,416.05 : x
  2. Step 2: Convert to fraction form
    10,342.87/15,524.03 = 5,416.05/x
  3. Step 3: Cross multiply
    10,342.87x = 15,524.03 × 5,416.05
  4. Step 4: Simplify right side
    10,342.87x = 84,078,825.37
  5. Step 5: Solve for x
    x = 84,078,825.37/10,342.87
  6. Step 6: Final answer
    x = 8,129.16

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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.