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Finding the Fourth Proportional to 7,848.66, 10,831.41 and 4,311.99

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Solution

The fourth proportional to 7,848.66, 10,831.41 and 4,311.99 is: 5,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.66 : 10,831.41 = 4,311.99 : x
  2. Step 2: Convert to fraction form
    7,848.66/10,831.41 = 4,311.99/x
  3. Step 3: Cross multiply
    7,848.66x = 10,831.41 × 4,311.99
  4. Step 4: Simplify right side
    7,848.66x = 46,704,931.61
  5. Step 5: Solve for x
    x = 46,704,931.61/7,848.66
  6. Step 6: Final answer
    x = 5,950.69

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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.