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Finding the Fourth Proportional to 15,797.63, 23,687.64 and 5,264.80

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Solution

The fourth proportional to 15,797.63, 23,687.64 and 5,264.80 is: 7,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.63 : 23,687.64 = 5,264.80 : x
  2. Step 2: Convert to fraction form
    15,797.63/23,687.64 = 5,264.80/x
  3. Step 3: Cross multiply
    15,797.63x = 23,687.64 × 5,264.80
  4. Step 4: Simplify right side
    15,797.63x = 124,710,627.85
  5. Step 5: Solve for x
    x = 124,710,627.85/15,797.63
  6. Step 6: Final answer
    x = 7,894.26

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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.