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Finding the Fourth Proportional to 10,467.49, 14,445.12 and 5,751.77

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Solution

The fourth proportional to 10,467.49, 14,445.12 and 5,751.77 is: 7,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.49 : 14,445.12 = 5,751.77 : x
  2. Step 2: Convert to fraction form
    10,467.49/14,445.12 = 5,751.77/x
  3. Step 3: Cross multiply
    10,467.49x = 14,445.12 × 5,751.77
  4. Step 4: Simplify right side
    10,467.49x = 83,085,007.86
  5. Step 5: Solve for x
    x = 83,085,007.86/10,467.49
  6. Step 6: Final answer
    x = 7,937.43

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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.