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Finding the Fourth Proportional to 11,076, 15,267.84 and 7,292.64

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Solution

The fourth proportional to 11,076, 15,267.84 and 7,292.64 is: 10,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076 : 15,267.84 = 7,292.64 : x
  2. Step 2: Convert to fraction form
    11,076/15,267.84 = 7,292.64/x
  3. Step 3: Cross multiply
    11,076x = 15,267.84 × 7,292.64
  4. Step 4: Simplify right side
    11,076x = 111,342,860.70
  5. Step 5: Solve for x
    x = 111,342,860.70/11,076
  6. Step 6: Final answer
    x = 10,052.62

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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.