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Finding the Fourth Proportional to 8,042.01, 11,096.64 and 5,055.74

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Solution

The fourth proportional to 8,042.01, 11,096.64 and 5,055.74 is: 6,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.01 : 11,096.64 = 5,055.74 : x
  2. Step 2: Convert to fraction form
    8,042.01/11,096.64 = 5,055.74/x
  3. Step 3: Cross multiply
    8,042.01x = 11,096.64 × 5,055.74
  4. Step 4: Simplify right side
    8,042.01x = 56,101,726.71
  5. Step 5: Solve for x
    x = 56,101,726.71/8,042.01
  6. Step 6: Final answer
    x = 6,976.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.