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Finding the Fourth Proportional to 8,428.90, 12,642.84 and 2,585.50

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Solution

The fourth proportional to 8,428.90, 12,642.84 and 2,585.50 is: 3,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.90 : 12,642.84 = 2,585.50 : x
  2. Step 2: Convert to fraction form
    8,428.90/12,642.84 = 2,585.50/x
  3. Step 3: Cross multiply
    8,428.90x = 12,642.84 × 2,585.50
  4. Step 4: Simplify right side
    8,428.90x = 32,688,062.82
  5. Step 5: Solve for x
    x = 32,688,062.82/8,428.90
  6. Step 6: Final answer
    x = 3,878.09

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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.