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Finding the Fourth Proportional to 11,252.97, 15,529.32 and 7,281

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Solution

The fourth proportional to 11,252.97, 15,529.32 and 7,281 is: 10,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.97 : 15,529.32 = 7,281 : x
  2. Step 2: Convert to fraction form
    11,252.97/15,529.32 = 7,281/x
  3. Step 3: Cross multiply
    11,252.97x = 15,529.32 × 7,281
  4. Step 4: Simplify right side
    11,252.97x = 113,068,978.92
  5. Step 5: Solve for x
    x = 113,068,978.92/11,252.97
  6. Step 6: Final answer
    x = 10,047.92

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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.