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Finding the Fourth Proportional to 7,831.68, 10,796.64 and 5,592.96

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Solution

The fourth proportional to 7,831.68, 10,796.64 and 5,592.96 is: 7,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.68 : 10,796.64 = 5,592.96 : x
  2. Step 2: Convert to fraction form
    7,831.68/10,796.64 = 5,592.96/x
  3. Step 3: Cross multiply
    7,831.68x = 10,796.64 × 5,592.96
  4. Step 4: Simplify right side
    7,831.68x = 60,385,175.65
  5. Step 5: Solve for x
    x = 60,385,175.65/7,831.68
  6. Step 6: Final answer
    x = 7,710.37

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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.