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Finding the Fourth Proportional to 11,369.67, 15,688.93 and 6,332.92

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Solution

The fourth proportional to 11,369.67, 15,688.93 and 6,332.92 is: 8,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.67 : 15,688.93 = 6,332.92 : x
  2. Step 2: Convert to fraction form
    11,369.67/15,688.93 = 6,332.92/x
  3. Step 3: Cross multiply
    11,369.67x = 15,688.93 × 6,332.92
  4. Step 4: Simplify right side
    11,369.67x = 99,356,701.13
  5. Step 5: Solve for x
    x = 99,356,701.13/11,369.67
  6. Step 6: Final answer
    x = 8,738.75

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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.