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Finding the Fourth Proportional to 7,831.52, 10,807.48 and 4,294.84

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Solution

The fourth proportional to 7,831.52, 10,807.48 and 4,294.84 is: 5,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.52 : 10,807.48 = 4,294.84 : x
  2. Step 2: Convert to fraction form
    7,831.52/10,807.48 = 4,294.84/x
  3. Step 3: Cross multiply
    7,831.52x = 10,807.48 × 4,294.84
  4. Step 4: Simplify right side
    7,831.52x = 46,416,397.40
  5. Step 5: Solve for x
    x = 46,416,397.40/7,831.52
  6. Step 6: Final answer
    x = 5,926.87

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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.