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Finding the Fourth Proportional to 11,342.05, 15,647.88 and 6,864.16

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Solution

The fourth proportional to 11,342.05, 15,647.88 and 6,864.16 is: 9,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.05 : 15,647.88 = 6,864.16 : x
  2. Step 2: Convert to fraction form
    11,342.05/15,647.88 = 6,864.16/x
  3. Step 3: Cross multiply
    11,342.05x = 15,647.88 × 6,864.16
  4. Step 4: Simplify right side
    11,342.05x = 107,409,551.98
  5. Step 5: Solve for x
    x = 107,409,551.98/11,342.05
  6. Step 6: Final answer
    x = 9,470.03

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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.