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Finding the Fourth Proportional to 10,467.57, 14,444.97 and 5,751.86

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Solution

The fourth proportional to 10,467.57, 14,444.97 and 5,751.86 is: 7,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.57 : 14,444.97 = 5,751.86 : x
  2. Step 2: Convert to fraction form
    10,467.57/14,444.97 = 5,751.86/x
  3. Step 3: Cross multiply
    10,467.57x = 14,444.97 × 5,751.86
  4. Step 4: Simplify right side
    10,467.57x = 83,085,445.14
  5. Step 5: Solve for x
    x = 83,085,445.14/10,467.57
  6. Step 6: Final answer
    x = 7,937.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.