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Finding the Fourth Proportional to 11,564.46, 17,332.72 and 5,632.46

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Solution

The fourth proportional to 11,564.46, 17,332.72 and 5,632.46 is: 8,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.46 : 17,332.72 = 5,632.46 : x
  2. Step 2: Convert to fraction form
    11,564.46/17,332.72 = 5,632.46/x
  3. Step 3: Cross multiply
    11,564.46x = 17,332.72 × 5,632.46
  4. Step 4: Simplify right side
    11,564.46x = 97,625,822.84
  5. Step 5: Solve for x
    x = 97,625,822.84/11,564.46
  6. Step 6: Final answer
    x = 8,441.88

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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.