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Finding the Fourth Proportional to 6,411.68, 8,844.74 and 5,218.02

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Solution

The fourth proportional to 6,411.68, 8,844.74 and 5,218.02 is: 7,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.68 : 8,844.74 = 5,218.02 : x
  2. Step 2: Convert to fraction form
    6,411.68/8,844.74 = 5,218.02/x
  3. Step 3: Cross multiply
    6,411.68x = 8,844.74 × 5,218.02
  4. Step 4: Simplify right side
    6,411.68x = 46,152,030.21
  5. Step 5: Solve for x
    x = 46,152,030.21/6,411.68
  6. Step 6: Final answer
    x = 7,198.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.