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Finding the Fourth Proportional to 8,527.20, 12,782 and 4,623.36

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Solution

The fourth proportional to 8,527.20, 12,782 and 4,623.36 is: 6,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.20 : 12,782 = 4,623.36 : x
  2. Step 2: Convert to fraction form
    8,527.20/12,782 = 4,623.36/x
  3. Step 3: Cross multiply
    8,527.20x = 12,782 × 4,623.36
  4. Step 4: Simplify right side
    8,527.20x = 59,095,787.52
  5. Step 5: Solve for x
    x = 59,095,787.52/8,527.20
  6. Step 6: Final answer
    x = 6,930.27

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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.