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Finding the Fourth Proportional to 8,292.98, 11,444.02 and 4,516.08

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Solution

The fourth proportional to 8,292.98, 11,444.02 and 4,516.08 is: 6,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.98 : 11,444.02 = 4,516.08 : x
  2. Step 2: Convert to fraction form
    8,292.98/11,444.02 = 4,516.08/x
  3. Step 3: Cross multiply
    8,292.98x = 11,444.02 × 4,516.08
  4. Step 4: Simplify right side
    8,292.98x = 51,682,109.84
  5. Step 5: Solve for x
    x = 51,682,109.84/8,292.98
  6. Step 6: Final answer
    x = 6,232.03

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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.