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Finding the Fourth Proportional to 8,429.85, 12,644.78 and 5,477.40

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Solution

The fourth proportional to 8,429.85, 12,644.78 and 5,477.40 is: 8,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.85 : 12,644.78 = 5,477.40 : x
  2. Step 2: Convert to fraction form
    8,429.85/12,644.78 = 5,477.40/x
  3. Step 3: Cross multiply
    8,429.85x = 12,644.78 × 5,477.40
  4. Step 4: Simplify right side
    8,429.85x = 69,260,490.59
  5. Step 5: Solve for x
    x = 69,260,490.59/8,429.85
  6. Step 6: Final answer
    x = 8,216.10

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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.