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Finding the Fourth Proportional to 11,750.14, 16,215.94 and 7,764.26

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Solution

The fourth proportional to 11,750.14, 16,215.94 and 7,764.26 is: 10,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.14 : 16,215.94 = 7,764.26 : x
  2. Step 2: Convert to fraction form
    11,750.14/16,215.94 = 7,764.26/x
  3. Step 3: Cross multiply
    11,750.14x = 16,215.94 × 7,764.26
  4. Step 4: Simplify right side
    11,750.14x = 125,904,774.30
  5. Step 5: Solve for x
    x = 125,904,774.30/11,750.14
  6. Step 6: Final answer
    x = 10,715.17

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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.