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Finding the Fourth Proportional to 12,977.71, 17,909.27 and 7,527.83

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Solution

The fourth proportional to 12,977.71, 17,909.27 and 7,527.83 is: 10,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.71 : 17,909.27 = 7,527.83 : x
  2. Step 2: Convert to fraction form
    12,977.71/17,909.27 = 7,527.83/x
  3. Step 3: Cross multiply
    12,977.71x = 17,909.27 × 7,527.83
  4. Step 4: Simplify right side
    12,977.71x = 134,817,939.98
  5. Step 5: Solve for x
    x = 134,817,939.98/12,977.71
  6. Step 6: Final answer
    x = 10,388.42

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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.