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Finding the Fourth Proportional to 7,848.74, 10,831.02 and 4,311.92

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Solution

The fourth proportional to 7,848.74, 10,831.02 and 4,311.92 is: 5,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.74 : 10,831.02 = 4,311.92 : x
  2. Step 2: Convert to fraction form
    7,848.74/10,831.02 = 4,311.92/x
  3. Step 3: Cross multiply
    7,848.74x = 10,831.02 × 4,311.92
  4. Step 4: Simplify right side
    7,848.74x = 46,702,491.76
  5. Step 5: Solve for x
    x = 46,702,491.76/7,848.74
  6. Step 6: Final answer
    x = 5,950.32

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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.