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Finding the Fourth Proportional to 11,455.31, 15,808.37 and 6,678.09

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Solution

The fourth proportional to 11,455.31, 15,808.37 and 6,678.09 is: 9,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.31 : 15,808.37 = 6,678.09 : x
  2. Step 2: Convert to fraction form
    11,455.31/15,808.37 = 6,678.09/x
  3. Step 3: Cross multiply
    11,455.31x = 15,808.37 × 6,678.09
  4. Step 4: Simplify right side
    11,455.31x = 105,569,717.61
  5. Step 5: Solve for x
    x = 105,569,717.61/11,455.31
  6. Step 6: Final answer
    x = 9,215.79

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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.