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Finding the Fourth Proportional to 8,693.84, 13,043.04 and 3,762.32

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Solution

The fourth proportional to 8,693.84, 13,043.04 and 3,762.32 is: 5,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.84 : 13,043.04 = 3,762.32 : x
  2. Step 2: Convert to fraction form
    8,693.84/13,043.04 = 3,762.32/x
  3. Step 3: Cross multiply
    8,693.84x = 13,043.04 × 3,762.32
  4. Step 4: Simplify right side
    8,693.84x = 49,072,122.86
  5. Step 5: Solve for x
    x = 49,072,122.86/8,693.84
  6. Step 6: Final answer
    x = 5,644.47

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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.