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Finding the Fourth Proportional to 10,584.04, 14,603.22 and 6,333.28

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Solution

The fourth proportional to 10,584.04, 14,603.22 and 6,333.28 is: 8,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.04 : 14,603.22 = 6,333.28 : x
  2. Step 2: Convert to fraction form
    10,584.04/14,603.22 = 6,333.28/x
  3. Step 3: Cross multiply
    10,584.04x = 14,603.22 × 6,333.28
  4. Step 4: Simplify right side
    10,584.04x = 92,486,281.16
  5. Step 5: Solve for x
    x = 92,486,281.16/10,584.04
  6. Step 6: Final answer
    x = 8,738.28

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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.