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Finding the Fourth Proportional to 11,369.70, 15,689.61 and 6,332.58

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Solution

The fourth proportional to 11,369.70, 15,689.61 and 6,332.58 is: 8,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.70 : 15,689.61 = 6,332.58 : x
  2. Step 2: Convert to fraction form
    11,369.70/15,689.61 = 6,332.58/x
  3. Step 3: Cross multiply
    11,369.70x = 15,689.61 × 6,332.58
  4. Step 4: Simplify right side
    11,369.70x = 99,355,710.49
  5. Step 5: Solve for x
    x = 99,355,710.49/11,369.70
  6. Step 6: Final answer
    x = 8,738.64

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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.