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Finding the Fourth Proportional to 8,693.52, 13,029 and 3,762.24

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Solution

The fourth proportional to 8,693.52, 13,029 and 3,762.24 is: 5,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.52 : 13,029 = 3,762.24 : x
  2. Step 2: Convert to fraction form
    8,693.52/13,029 = 3,762.24/x
  3. Step 3: Cross multiply
    8,693.52x = 13,029 × 3,762.24
  4. Step 4: Simplify right side
    8,693.52x = 49,018,224.96
  5. Step 5: Solve for x
    x = 49,018,224.96/8,693.52
  6. Step 6: Final answer
    x = 5,638.48

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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.