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Finding the Fourth Proportional to 8,223.58, 12,347.67 and 6,575.26

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Solution

The fourth proportional to 8,223.58, 12,347.67 and 6,575.26 is: 9,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.58 : 12,347.67 = 6,575.26 : x
  2. Step 2: Convert to fraction form
    8,223.58/12,347.67 = 6,575.26/x
  3. Step 3: Cross multiply
    8,223.58x = 12,347.67 × 6,575.26
  4. Step 4: Simplify right side
    8,223.58x = 81,189,140.64
  5. Step 5: Solve for x
    x = 81,189,140.64/8,223.58
  6. Step 6: Final answer
    x = 9,872.72

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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.