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Finding the Fourth Proportional to 15,862.10, 23,794.77 and 5,472.50

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Solution

The fourth proportional to 15,862.10, 23,794.77 and 5,472.50 is: 8,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.10 : 23,794.77 = 5,472.50 : x
  2. Step 2: Convert to fraction form
    15,862.10/23,794.77 = 5,472.50/x
  3. Step 3: Cross multiply
    15,862.10x = 23,794.77 × 5,472.50
  4. Step 4: Simplify right side
    15,862.10x = 130,216,878.83
  5. Step 5: Solve for x
    x = 130,216,878.83/15,862.10
  6. Step 6: Final answer
    x = 8,209.31

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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.