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Finding the Fourth Proportional to 8,810, 13,212.24 and 5,119.40

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Solution

The fourth proportional to 8,810, 13,212.24 and 5,119.40 is: 7,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810 : 13,212.24 = 5,119.40 : x
  2. Step 2: Convert to fraction form
    8,810/13,212.24 = 5,119.40/x
  3. Step 3: Cross multiply
    8,810x = 13,212.24 × 5,119.40
  4. Step 4: Simplify right side
    8,810x = 67,638,741.46
  5. Step 5: Solve for x
    x = 67,638,741.46/8,810
  6. Step 6: Final answer
    x = 7,677.50

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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.