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Finding the Fourth Proportional to 11,178.51, 15,432.44 and 7,831.59

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Solution

The fourth proportional to 11,178.51, 15,432.44 and 7,831.59 is: 10,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.51 : 15,432.44 = 7,831.59 : x
  2. Step 2: Convert to fraction form
    11,178.51/15,432.44 = 7,831.59/x
  3. Step 3: Cross multiply
    11,178.51x = 15,432.44 × 7,831.59
  4. Step 4: Simplify right side
    11,178.51x = 120,860,503.62
  5. Step 5: Solve for x
    x = 120,860,503.62/11,178.51
  6. Step 6: Final answer
    x = 10,811.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.