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Finding the Fourth Proportional to 8,527.31, 12,790.88 and 3,333.14

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Solution

The fourth proportional to 8,527.31, 12,790.88 and 3,333.14 is: 4,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.31 : 12,790.88 = 3,333.14 : x
  2. Step 2: Convert to fraction form
    8,527.31/12,790.88 = 3,333.14/x
  3. Step 3: Cross multiply
    8,527.31x = 12,790.88 × 3,333.14
  4. Step 4: Simplify right side
    8,527.31x = 42,633,809.07
  5. Step 5: Solve for x
    x = 42,633,809.07/8,527.31
  6. Step 6: Final answer
    x = 4,999.68

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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.