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Finding the Fourth Proportional to 8,243.71, 11,381.51 and 5,725.01

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Solution

The fourth proportional to 8,243.71, 11,381.51 and 5,725.01 is: 7,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.71 : 11,381.51 = 5,725.01 : x
  2. Step 2: Convert to fraction form
    8,243.71/11,381.51 = 5,725.01/x
  3. Step 3: Cross multiply
    8,243.71x = 11,381.51 × 5,725.01
  4. Step 4: Simplify right side
    8,243.71x = 65,159,258.57
  5. Step 5: Solve for x
    x = 65,159,258.57/8,243.71
  6. Step 6: Final answer
    x = 7,904.12

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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.