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Finding the Fourth Proportional to 11,328.45, 15,633.04 and 6,292.44

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Solution

The fourth proportional to 11,328.45, 15,633.04 and 6,292.44 is: 8,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.45 : 15,633.04 = 6,292.44 : x
  2. Step 2: Convert to fraction form
    11,328.45/15,633.04 = 6,292.44/x
  3. Step 3: Cross multiply
    11,328.45x = 15,633.04 × 6,292.44
  4. Step 4: Simplify right side
    11,328.45x = 98,370,005.30
  5. Step 5: Solve for x
    x = 98,370,005.30/11,328.45
  6. Step 6: Final answer
    x = 8,683.45

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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.