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Finding the Fourth Proportional to 8,385.80, 12,569.52 and 4,219.16

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Solution

The fourth proportional to 8,385.80, 12,569.52 and 4,219.16 is: 6,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.80 : 12,569.52 = 4,219.16 : x
  2. Step 2: Convert to fraction form
    8,385.80/12,569.52 = 4,219.16/x
  3. Step 3: Cross multiply
    8,385.80x = 12,569.52 × 4,219.16
  4. Step 4: Simplify right side
    8,385.80x = 53,032,816.00
  5. Step 5: Solve for x
    x = 53,032,816.00/8,385.80
  6. Step 6: Final answer
    x = 6,324.12

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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.