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Finding the Fourth Proportional to 8,564.46, 12,828.51 and 5,592.39

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Solution

The fourth proportional to 8,564.46, 12,828.51 and 5,592.39 is: 8,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.46 : 12,828.51 = 5,592.39 : x
  2. Step 2: Convert to fraction form
    8,564.46/12,828.51 = 5,592.39/x
  3. Step 3: Cross multiply
    8,564.46x = 12,828.51 × 5,592.39
  4. Step 4: Simplify right side
    8,564.46x = 71,742,031.04
  5. Step 5: Solve for x
    x = 71,742,031.04/8,564.46
  6. Step 6: Final answer
    x = 8,376.71

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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.