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Finding the Fourth Proportional to 8,807.56, 13,193.92 and 6,589.14

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Solution

The fourth proportional to 8,807.56, 13,193.92 and 6,589.14 is: 9,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807.56 : 13,193.92 = 6,589.14 : x
  2. Step 2: Convert to fraction form
    8,807.56/13,193.92 = 6,589.14/x
  3. Step 3: Cross multiply
    8,807.56x = 13,193.92 × 6,589.14
  4. Step 4: Simplify right side
    8,807.56x = 86,936,586.03
  5. Step 5: Solve for x
    x = 86,936,586.03/8,807.56
  6. Step 6: Final answer
    x = 9,870.68

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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.