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Finding the Fourth Proportional to 10,527.64, 15,790.20 and 8,189.98

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Solution

The fourth proportional to 10,527.64, 15,790.20 and 8,189.98 is: 12,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.64 : 15,790.20 = 8,189.98 : x
  2. Step 2: Convert to fraction form
    10,527.64/15,790.20 = 8,189.98/x
  3. Step 3: Cross multiply
    10,527.64x = 15,790.20 × 8,189.98
  4. Step 4: Simplify right side
    10,527.64x = 129,321,422.20
  5. Step 5: Solve for x
    x = 129,321,422.20/10,527.64
  6. Step 6: Final answer
    x = 12,283.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.