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Finding the Fourth Proportional to 7,848.93, 10,831.49 and 4,664.42

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Solution

The fourth proportional to 7,848.93, 10,831.49 and 4,664.42 is: 6,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.93 : 10,831.49 = 4,664.42 : x
  2. Step 2: Convert to fraction form
    7,848.93/10,831.49 = 4,664.42/x
  3. Step 3: Cross multiply
    7,848.93x = 10,831.49 × 4,664.42
  4. Step 4: Simplify right side
    7,848.93x = 50,522,541.11
  5. Step 5: Solve for x
    x = 50,522,541.11/7,848.93
  6. Step 6: Final answer
    x = 6,436.87

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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.