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Finding the Fourth Proportional to 10,467.82, 14,445.69 and 5,752.21

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Solution

The fourth proportional to 10,467.82, 14,445.69 and 5,752.21 is: 7,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.82 : 14,445.69 = 5,752.21 : x
  2. Step 2: Convert to fraction form
    10,467.82/14,445.69 = 5,752.21/x
  3. Step 3: Cross multiply
    10,467.82x = 14,445.69 × 5,752.21
  4. Step 4: Simplify right side
    10,467.82x = 83,094,642.47
  5. Step 5: Solve for x
    x = 83,094,642.47/10,467.82
  6. Step 6: Final answer
    x = 7,938.10

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Why These Related Problems?

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