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Finding the Fourth Proportional to 11,885.76, 17,831.52 and 3,565.76

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Solution

The fourth proportional to 11,885.76, 17,831.52 and 3,565.76 is: 5,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.76 : 17,831.52 = 3,565.76 : x
  2. Step 2: Convert to fraction form
    11,885.76/17,831.52 = 3,565.76/x
  3. Step 3: Cross multiply
    11,885.76x = 17,831.52 × 3,565.76
  4. Step 4: Simplify right side
    11,885.76x = 63,582,920.76
  5. Step 5: Solve for x
    x = 63,582,920.76/11,885.76
  6. Step 6: Final answer
    x = 5,349.50

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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.