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Finding the Fourth Proportional to 11,179, 15,433.50 and 7,459.48

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Solution

The fourth proportional to 11,179, 15,433.50 and 7,459.48 is: 10,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179 : 15,433.50 = 7,459.48 : x
  2. Step 2: Convert to fraction form
    11,179/15,433.50 = 7,459.48/x
  3. Step 3: Cross multiply
    11,179x = 15,433.50 × 7,459.48
  4. Step 4: Simplify right side
    11,179x = 115,125,884.58
  5. Step 5: Solve for x
    x = 115,125,884.58/11,179
  6. Step 6: Final answer
    x = 10,298.41

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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.