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Finding the Fourth Proportional to 5,206.93, 7,803.69 and 1,916.12

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Solution

The fourth proportional to 5,206.93, 7,803.69 and 1,916.12 is: 2,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.93 : 7,803.69 = 1,916.12 : x
  2. Step 2: Convert to fraction form
    5,206.93/7,803.69 = 1,916.12/x
  3. Step 3: Cross multiply
    5,206.93x = 7,803.69 × 1,916.12
  4. Step 4: Simplify right side
    5,206.93x = 14,952,818.81
  5. Step 5: Solve for x
    x = 14,952,818.81/5,206.93
  6. Step 6: Final answer
    x = 2,871.72

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