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Finding the Fourth Proportional to 8,527.50, 12,784.52 and 3,261.50

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Solution

The fourth proportional to 8,527.50, 12,784.52 and 3,261.50 is: 4,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.50 : 12,784.52 = 3,261.50 : x
  2. Step 2: Convert to fraction form
    8,527.50/12,784.52 = 3,261.50/x
  3. Step 3: Cross multiply
    8,527.50x = 12,784.52 × 3,261.50
  4. Step 4: Simplify right side
    8,527.50x = 41,696,711.98
  5. Step 5: Solve for x
    x = 41,696,711.98/8,527.50
  6. Step 6: Final answer
    x = 4,889.68

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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.