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Finding the Fourth Proportional to 7,576.32, 11,360 and 2,953.92

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Solution

The fourth proportional to 7,576.32, 11,360 and 2,953.92 is: 4,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.32 : 11,360 = 2,953.92 : x
  2. Step 2: Convert to fraction form
    7,576.32/11,360 = 2,953.92/x
  3. Step 3: Cross multiply
    7,576.32x = 11,360 × 2,953.92
  4. Step 4: Simplify right side
    7,576.32x = 33,556,531.20
  5. Step 5: Solve for x
    x = 33,556,531.20/7,576.32
  6. Step 6: Final answer
    x = 4,429.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.