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Finding the Fourth Proportional to 8,428.59, 12,643.09 and 2,585.25

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Solution

The fourth proportional to 8,428.59, 12,643.09 and 2,585.25 is: 3,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.59 : 12,643.09 = 2,585.25 : x
  2. Step 2: Convert to fraction form
    8,428.59/12,643.09 = 2,585.25/x
  3. Step 3: Cross multiply
    8,428.59x = 12,643.09 × 2,585.25
  4. Step 4: Simplify right side
    8,428.59x = 32,685,541.96
  5. Step 5: Solve for x
    x = 32,685,541.96/8,428.59
  6. Step 6: Final answer
    x = 3,877.94

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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.