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Finding the Fourth Proportional to 11,585.01, 17,374.85 and 6,906.34

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Solution

The fourth proportional to 11,585.01, 17,374.85 and 6,906.34 is: 10,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.01 : 17,374.85 = 6,906.34 : x
  2. Step 2: Convert to fraction form
    11,585.01/17,374.85 = 6,906.34/x
  3. Step 3: Cross multiply
    11,585.01x = 17,374.85 × 6,906.34
  4. Step 4: Simplify right side
    11,585.01x = 119,996,569.48
  5. Step 5: Solve for x
    x = 119,996,569.48/11,585.01
  6. Step 6: Final answer
    x = 10,357.92

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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.