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Finding the Fourth Proportional to 10,576.54, 15,867.04 and 4,002.58

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Solution

The fourth proportional to 10,576.54, 15,867.04 and 4,002.58 is: 6,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.54 : 15,867.04 = 4,002.58 : x
  2. Step 2: Convert to fraction form
    10,576.54/15,867.04 = 4,002.58/x
  3. Step 3: Cross multiply
    10,576.54x = 15,867.04 × 4,002.58
  4. Step 4: Simplify right side
    10,576.54x = 63,509,096.96
  5. Step 5: Solve for x
    x = 63,509,096.96/10,576.54
  6. Step 6: Final answer
    x = 6,004.71

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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.