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Finding the Fourth Proportional to 10,454.93, 15,682.30 and 4,611.54

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Solution

The fourth proportional to 10,454.93, 15,682.30 and 4,611.54 is: 6,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.93 : 15,682.30 = 4,611.54 : x
  2. Step 2: Convert to fraction form
    10,454.93/15,682.30 = 4,611.54/x
  3. Step 3: Cross multiply
    10,454.93x = 15,682.30 × 4,611.54
  4. Step 4: Simplify right side
    10,454.93x = 72,319,542.21
  5. Step 5: Solve for x
    x = 72,319,542.21/10,454.93
  6. Step 6: Final answer
    x = 6,917.27

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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.