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Finding the Fourth Proportional to 8,051.78, 12,055.37 and 6,071.42

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Solution

The fourth proportional to 8,051.78, 12,055.37 and 6,071.42 is: 9,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.78 : 12,055.37 = 6,071.42 : x
  2. Step 2: Convert to fraction form
    8,051.78/12,055.37 = 6,071.42/x
  3. Step 3: Cross multiply
    8,051.78x = 12,055.37 × 6,071.42
  4. Step 4: Simplify right side
    8,051.78x = 73,193,123.89
  5. Step 5: Solve for x
    x = 73,193,123.89/8,051.78
  6. Step 6: Final answer
    x = 9,090.31

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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.