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Finding the Fourth Proportional to 8,362.37, 12,532.32 and 5,877.09

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Solution

The fourth proportional to 8,362.37, 12,532.32 and 5,877.09 is: 8,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.37 : 12,532.32 = 5,877.09 : x
  2. Step 2: Convert to fraction form
    8,362.37/12,532.32 = 5,877.09/x
  3. Step 3: Cross multiply
    8,362.37x = 12,532.32 × 5,877.09
  4. Step 4: Simplify right side
    8,362.37x = 73,653,572.55
  5. Step 5: Solve for x
    x = 73,653,572.55/8,362.37
  6. Step 6: Final answer
    x = 8,807.74

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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.