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Finding the Fourth Proportional to 8,388.67, 11,576.51 and 4,612

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Solution

The fourth proportional to 8,388.67, 11,576.51 and 4,612 is: 6,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.67 : 11,576.51 = 4,612 : x
  2. Step 2: Convert to fraction form
    8,388.67/11,576.51 = 4,612/x
  3. Step 3: Cross multiply
    8,388.67x = 11,576.51 × 4,612
  4. Step 4: Simplify right side
    8,388.67x = 53,390,864.12
  5. Step 5: Solve for x
    x = 53,390,864.12/8,388.67
  6. Step 6: Final answer
    x = 6,364.64

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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.