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Finding the Fourth Proportional to 6,804.65, 10,197.41 and 5,411.81

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Solution

The fourth proportional to 6,804.65, 10,197.41 and 5,411.81 is: 8,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.65 : 10,197.41 = 5,411.81 : x
  2. Step 2: Convert to fraction form
    6,804.65/10,197.41 = 5,411.81/x
  3. Step 3: Cross multiply
    6,804.65x = 10,197.41 × 5,411.81
  4. Step 4: Simplify right side
    6,804.65x = 55,186,411.27
  5. Step 5: Solve for x
    x = 55,186,411.27/6,804.65
  6. Step 6: Final answer
    x = 8,110.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.