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Finding the Fourth Proportional to 8,302.02, 12,432.52 and 6,188.58

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Solution

The fourth proportional to 8,302.02, 12,432.52 and 6,188.58 is: 9,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.02 : 12,432.52 = 6,188.58 : x
  2. Step 2: Convert to fraction form
    8,302.02/12,432.52 = 6,188.58/x
  3. Step 3: Cross multiply
    8,302.02x = 12,432.52 × 6,188.58
  4. Step 4: Simplify right side
    8,302.02x = 76,939,644.62
  5. Step 5: Solve for x
    x = 76,939,644.62/8,302.02
  6. Step 6: Final answer
    x = 9,267.58

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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.