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Finding the Fourth Proportional to 11,071.78, 16,590.37 and 6,959.14

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Solution

The fourth proportional to 11,071.78, 16,590.37 and 6,959.14 is: 10,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.78 : 16,590.37 = 6,959.14 : x
  2. Step 2: Convert to fraction form
    11,071.78/16,590.37 = 6,959.14/x
  3. Step 3: Cross multiply
    11,071.78x = 16,590.37 × 6,959.14
  4. Step 4: Simplify right side
    11,071.78x = 115,454,707.48
  5. Step 5: Solve for x
    x = 115,454,707.48/11,071.78
  6. Step 6: Final answer
    x = 10,427.84

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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.