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Finding the Fourth Proportional to 8,965.46, 12,371.66 and 5,188.64

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Solution

The fourth proportional to 8,965.46, 12,371.66 and 5,188.64 is: 7,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.46 : 12,371.66 = 5,188.64 : x
  2. Step 2: Convert to fraction form
    8,965.46/12,371.66 = 5,188.64/x
  3. Step 3: Cross multiply
    8,965.46x = 12,371.66 × 5,188.64
  4. Step 4: Simplify right side
    8,965.46x = 64,192,089.94
  5. Step 5: Solve for x
    x = 64,192,089.94/8,965.46
  6. Step 6: Final answer
    x = 7,159.93

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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.