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Finding the Fourth Proportional to 11,577.80, 15,962.52 and 7,592

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Solution

The fourth proportional to 11,577.80, 15,962.52 and 7,592 is: 10,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.80 : 15,962.52 = 7,592 : x
  2. Step 2: Convert to fraction form
    11,577.80/15,962.52 = 7,592/x
  3. Step 3: Cross multiply
    11,577.80x = 15,962.52 × 7,592
  4. Step 4: Simplify right side
    11,577.80x = 121,187,451.84
  5. Step 5: Solve for x
    x = 121,187,451.84/11,577.80
  6. Step 6: Final answer
    x = 10,467.23

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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.