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Finding the Fourth Proportional to 8,529.30, 11,776.24 and 5,343.92

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Solution

The fourth proportional to 8,529.30, 11,776.24 and 5,343.92 is: 7,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.30 : 11,776.24 = 5,343.92 : x
  2. Step 2: Convert to fraction form
    8,529.30/11,776.24 = 5,343.92/x
  3. Step 3: Cross multiply
    8,529.30x = 11,776.24 × 5,343.92
  4. Step 4: Simplify right side
    8,529.30x = 62,931,284.46
  5. Step 5: Solve for x
    x = 62,931,284.46/8,529.30
  6. Step 6: Final answer
    x = 7,378.25

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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.