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Finding the Fourth Proportional to 11,328.53, 15,631.61 and 6,292.26

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Solution

The fourth proportional to 11,328.53, 15,631.61 and 6,292.26 is: 8,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.53 : 15,631.61 = 6,292.26 : x
  2. Step 2: Convert to fraction form
    11,328.53/15,631.61 = 6,292.26/x
  3. Step 3: Cross multiply
    11,328.53x = 15,631.61 × 6,292.26
  4. Step 4: Simplify right side
    11,328.53x = 98,358,122.88
  5. Step 5: Solve for x
    x = 98,358,122.88/11,328.53
  6. Step 6: Final answer
    x = 8,682.34

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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.