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Finding the Fourth Proportional to 7,406.62, 11,097.64 and 5,210.74

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Solution

The fourth proportional to 7,406.62, 11,097.64 and 5,210.74 is: 7,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.62 : 11,097.64 = 5,210.74 : x
  2. Step 2: Convert to fraction form
    7,406.62/11,097.64 = 5,210.74/x
  3. Step 3: Cross multiply
    7,406.62x = 11,097.64 × 5,210.74
  4. Step 4: Simplify right side
    7,406.62x = 57,826,916.65
  5. Step 5: Solve for x
    x = 57,826,916.65/7,406.62
  6. Step 6: Final answer
    x = 7,807.46

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