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Finding the Fourth Proportional to 8,034.42, 12,053.46 and 2,840.34

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Solution

The fourth proportional to 8,034.42, 12,053.46 and 2,840.34 is: 4,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.42 : 12,053.46 = 2,840.34 : x
  2. Step 2: Convert to fraction form
    8,034.42/12,053.46 = 2,840.34/x
  3. Step 3: Cross multiply
    8,034.42x = 12,053.46 × 2,840.34
  4. Step 4: Simplify right side
    8,034.42x = 34,235,924.58
  5. Step 5: Solve for x
    x = 34,235,924.58/8,034.42
  6. Step 6: Final answer
    x = 4,261.16

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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.