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Finding the Fourth Proportional to 8,159.75, 11,256.44 and 5,325.81

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Solution

The fourth proportional to 8,159.75, 11,256.44 and 5,325.81 is: 7,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.75 : 11,256.44 = 5,325.81 : x
  2. Step 2: Convert to fraction form
    8,159.75/11,256.44 = 5,325.81/x
  3. Step 3: Cross multiply
    8,159.75x = 11,256.44 × 5,325.81
  4. Step 4: Simplify right side
    8,159.75x = 59,949,660.72
  5. Step 5: Solve for x
    x = 59,949,660.72/8,159.75
  6. Step 6: Final answer
    x = 7,347.00

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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.