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Finding the Fourth Proportional to 11,473.38, 15,831.86 and 6,756.75

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Solution

The fourth proportional to 11,473.38, 15,831.86 and 6,756.75 is: 9,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.38 : 15,831.86 = 6,756.75 : x
  2. Step 2: Convert to fraction form
    11,473.38/15,831.86 = 6,756.75/x
  3. Step 3: Cross multiply
    11,473.38x = 15,831.86 × 6,756.75
  4. Step 4: Simplify right side
    11,473.38x = 106,971,886.27
  5. Step 5: Solve for x
    x = 106,971,886.27/11,473.38
  6. Step 6: Final answer
    x = 9,323.48

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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.