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Finding the Fourth Proportional to 11,418.50, 17,120.93 and 4,746.96

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Solution

The fourth proportional to 11,418.50, 17,120.93 and 4,746.96 is: 7,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.50 : 17,120.93 = 4,746.96 : x
  2. Step 2: Convert to fraction form
    11,418.50/17,120.93 = 4,746.96/x
  3. Step 3: Cross multiply
    11,418.50x = 17,120.93 × 4,746.96
  4. Step 4: Simplify right side
    11,418.50x = 81,272,346.14
  5. Step 5: Solve for x
    x = 81,272,346.14/11,418.50
  6. Step 6: Final answer
    x = 7,117.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.