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Finding the Fourth Proportional to 8,277.81, 11,424.42 and 5,134.47

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Solution

The fourth proportional to 8,277.81, 11,424.42 and 5,134.47 is: 7,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.81 : 11,424.42 = 5,134.47 : x
  2. Step 2: Convert to fraction form
    8,277.81/11,424.42 = 5,134.47/x
  3. Step 3: Cross multiply
    8,277.81x = 11,424.42 × 5,134.47
  4. Step 4: Simplify right side
    8,277.81x = 58,658,341.76
  5. Step 5: Solve for x
    x = 58,658,341.76/8,277.81
  6. Step 6: Final answer
    x = 7,086.22

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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.