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Finding the Fourth Proportional to 11,052, 15,254.07 and 7,281.24

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Solution

The fourth proportional to 11,052, 15,254.07 and 7,281.24 is: 10,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052 : 15,254.07 = 7,281.24 : x
  2. Step 2: Convert to fraction form
    11,052/15,254.07 = 7,281.24/x
  3. Step 3: Cross multiply
    11,052x = 15,254.07 × 7,281.24
  4. Step 4: Simplify right side
    11,052x = 111,068,544.65
  5. Step 5: Solve for x
    x = 111,068,544.65/11,052
  6. Step 6: Final answer
    x = 10,049.63

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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.