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Finding the Fourth Proportional to 8,643.52, 12,965.54 and 2,404

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Solution

The fourth proportional to 8,643.52, 12,965.54 and 2,404 is: 3,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.52 : 12,965.54 = 2,404 : x
  2. Step 2: Convert to fraction form
    8,643.52/12,965.54 = 2,404/x
  3. Step 3: Cross multiply
    8,643.52x = 12,965.54 × 2,404
  4. Step 4: Simplify right side
    8,643.52x = 31,169,158.16
  5. Step 5: Solve for x
    x = 31,169,158.16/8,643.52
  6. Step 6: Final answer
    x = 3,606.07

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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.