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Finding the Fourth Proportional to 11,394.57, 15,724.58 and 6,678.89

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Solution

The fourth proportional to 11,394.57, 15,724.58 and 6,678.89 is: 9,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.57 : 15,724.58 = 6,678.89 : x
  2. Step 2: Convert to fraction form
    11,394.57/15,724.58 = 6,678.89/x
  3. Step 3: Cross multiply
    11,394.57x = 15,724.58 × 6,678.89
  4. Step 4: Simplify right side
    11,394.57x = 105,022,661.49
  5. Step 5: Solve for x
    x = 105,022,661.49/11,394.57
  6. Step 6: Final answer
    x = 9,216.90

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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.