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Finding the Fourth Proportional to 8,355.90, 12,533.85 and 7,722.30

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Solution

The fourth proportional to 8,355.90, 12,533.85 and 7,722.30 is: 11,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.90 : 12,533.85 = 7,722.30 : x
  2. Step 2: Convert to fraction form
    8,355.90/12,533.85 = 7,722.30/x
  3. Step 3: Cross multiply
    8,355.90x = 12,533.85 × 7,722.30
  4. Step 4: Simplify right side
    8,355.90x = 96,790,149.86
  5. Step 5: Solve for x
    x = 96,790,149.86/8,355.90
  6. Step 6: Final answer
    x = 11,583.45

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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.