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Finding the Fourth Proportional to 8,218.68, 11,328.44 and 6,423

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Solution

The fourth proportional to 8,218.68, 11,328.44 and 6,423 is: 8,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.68 : 11,328.44 = 6,423 : x
  2. Step 2: Convert to fraction form
    8,218.68/11,328.44 = 6,423/x
  3. Step 3: Cross multiply
    8,218.68x = 11,328.44 × 6,423
  4. Step 4: Simplify right side
    8,218.68x = 72,762,570.12
  5. Step 5: Solve for x
    x = 72,762,570.12/8,218.68
  6. Step 6: Final answer
    x = 8,853.32

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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.