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Finding the Fourth Proportional to 7,831.61, 10,806.24 and 4,473.96

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Solution

The fourth proportional to 7,831.61, 10,806.24 and 4,473.96 is: 6,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.61 : 10,806.24 = 4,473.96 : x
  2. Step 2: Convert to fraction form
    7,831.61/10,806.24 = 4,473.96/x
  3. Step 3: Cross multiply
    7,831.61x = 10,806.24 × 4,473.96
  4. Step 4: Simplify right side
    7,831.61x = 48,346,685.51
  5. Step 5: Solve for x
    x = 48,346,685.51/7,831.61
  6. Step 6: Final answer
    x = 6,173.28

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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.