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Finding the Fourth Proportional to 8,143.74, 11,242.44 and 5,275.86

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Solution

The fourth proportional to 8,143.74, 11,242.44 and 5,275.86 is: 7,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.74 : 11,242.44 = 5,275.86 : x
  2. Step 2: Convert to fraction form
    8,143.74/11,242.44 = 5,275.86/x
  3. Step 3: Cross multiply
    8,143.74x = 11,242.44 × 5,275.86
  4. Step 4: Simplify right side
    8,143.74x = 59,313,539.50
  5. Step 5: Solve for x
    x = 59,313,539.50/8,143.74
  6. Step 6: Final answer
    x = 7,283.33

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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.