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Finding the Fourth Proportional to 10,534.54, 15,790.47 and 5,599.21

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Solution

The fourth proportional to 10,534.54, 15,790.47 and 5,599.21 is: 8,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.54 : 15,790.47 = 5,599.21 : x
  2. Step 2: Convert to fraction form
    10,534.54/15,790.47 = 5,599.21/x
  3. Step 3: Cross multiply
    10,534.54x = 15,790.47 × 5,599.21
  4. Step 4: Simplify right side
    10,534.54x = 88,414,157.53
  5. Step 5: Solve for x
    x = 88,414,157.53/10,534.54
  6. Step 6: Final answer
    x = 8,392.79

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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.