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Finding the Fourth Proportional to 8,530.94, 11,769.36 and 5,342.92

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Solution

The fourth proportional to 8,530.94, 11,769.36 and 5,342.92 is: 7,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.94 : 11,769.36 = 5,342.92 : x
  2. Step 2: Convert to fraction form
    8,530.94/11,769.36 = 5,342.92/x
  3. Step 3: Cross multiply
    8,530.94x = 11,769.36 × 5,342.92
  4. Step 4: Simplify right side
    8,530.94x = 62,882,748.93
  5. Step 5: Solve for x
    x = 62,882,748.93/8,530.94
  6. Step 6: Final answer
    x = 7,371.14

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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.