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Finding the Fourth Proportional to 8,428.16, 12,644.16 and 2,585.60

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Solution

The fourth proportional to 8,428.16, 12,644.16 and 2,585.60 is: 3,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.16 : 12,644.16 = 2,585.60 : x
  2. Step 2: Convert to fraction form
    8,428.16/12,644.16 = 2,585.60/x
  3. Step 3: Cross multiply
    8,428.16x = 12,644.16 × 2,585.60
  4. Step 4: Simplify right side
    8,428.16x = 32,692,740.10
  5. Step 5: Solve for x
    x = 32,692,740.10/8,428.16
  6. Step 6: Final answer
    x = 3,878.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.