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Finding the Fourth Proportional to 10,454.80, 15,682.11 and 4,611.42

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Solution

The fourth proportional to 10,454.80, 15,682.11 and 4,611.42 is: 6,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.80 : 15,682.11 = 4,611.42 : x
  2. Step 2: Convert to fraction form
    10,454.80/15,682.11 = 4,611.42/x
  3. Step 3: Cross multiply
    10,454.80x = 15,682.11 × 4,611.42
  4. Step 4: Simplify right side
    10,454.80x = 72,316,717.29
  5. Step 5: Solve for x
    x = 72,316,717.29/10,454.80
  6. Step 6: Final answer
    x = 6,917.08

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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.