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Finding the Fourth Proportional to 8,417.14, 12,628 and 2,573.62

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Solution

The fourth proportional to 8,417.14, 12,628 and 2,573.62 is: 3,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.14 : 12,628 = 2,573.62 : x
  2. Step 2: Convert to fraction form
    8,417.14/12,628 = 2,573.62/x
  3. Step 3: Cross multiply
    8,417.14x = 12,628 × 2,573.62
  4. Step 4: Simplify right side
    8,417.14x = 32,499,673.36
  5. Step 5: Solve for x
    x = 32,499,673.36/8,417.14
  6. Step 6: Final answer
    x = 3,861.13

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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.