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Finding the Fourth Proportional to 11,678.36, 16,108.14 and 6,959

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Solution

The fourth proportional to 11,678.36, 16,108.14 and 6,959 is: 9,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.36 : 16,108.14 = 6,959 : x
  2. Step 2: Convert to fraction form
    11,678.36/16,108.14 = 6,959/x
  3. Step 3: Cross multiply
    11,678.36x = 16,108.14 × 6,959
  4. Step 4: Simplify right side
    11,678.36x = 112,096,546.26
  5. Step 5: Solve for x
    x = 112,096,546.26/11,678.36
  6. Step 6: Final answer
    x = 9,598.65

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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.