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Finding the Fourth Proportional to 7,870.02, 11,800.14 and 4,409.70

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Solution

The fourth proportional to 7,870.02, 11,800.14 and 4,409.70 is: 6,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.02 : 11,800.14 = 4,409.70 : x
  2. Step 2: Convert to fraction form
    7,870.02/11,800.14 = 4,409.70/x
  3. Step 3: Cross multiply
    7,870.02x = 11,800.14 × 4,409.70
  4. Step 4: Simplify right side
    7,870.02x = 52,035,077.36
  5. Step 5: Solve for x
    x = 52,035,077.36/7,870.02
  6. Step 6: Final answer
    x = 6,611.81

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