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Finding the Fourth Proportional to 10,558.10, 15,825.07 and 5,003.57

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Solution

The fourth proportional to 10,558.10, 15,825.07 and 5,003.57 is: 7,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.10 : 15,825.07 = 5,003.57 : x
  2. Step 2: Convert to fraction form
    10,558.10/15,825.07 = 5,003.57/x
  3. Step 3: Cross multiply
    10,558.10x = 15,825.07 × 5,003.57
  4. Step 4: Simplify right side
    10,558.10x = 79,181,891.32
  5. Step 5: Solve for x
    x = 79,181,891.32/10,558.10
  6. Step 6: Final answer
    x = 7,499.64

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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.