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Finding the Fourth Proportional to 11,444.81, 15,792.50 and 6,409.31

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Solution

The fourth proportional to 11,444.81, 15,792.50 and 6,409.31 is: 8,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.81 : 15,792.50 = 6,409.31 : x
  2. Step 2: Convert to fraction form
    11,444.81/15,792.50 = 6,409.31/x
  3. Step 3: Cross multiply
    11,444.81x = 15,792.50 × 6,409.31
  4. Step 4: Simplify right side
    11,444.81x = 101,218,917.17
  5. Step 5: Solve for x
    x = 101,218,917.17/11,444.81
  6. Step 6: Final answer
    x = 8,844.09

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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.