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Finding the Fourth Proportional to 11,181.75, 15,430.95 and 6,709.38

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Solution

The fourth proportional to 11,181.75, 15,430.95 and 6,709.38 is: 9,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.75 : 15,430.95 = 6,709.38 : x
  2. Step 2: Convert to fraction form
    11,181.75/15,430.95 = 6,709.38/x
  3. Step 3: Cross multiply
    11,181.75x = 15,430.95 × 6,709.38
  4. Step 4: Simplify right side
    11,181.75x = 103,532,107.31
  5. Step 5: Solve for x
    x = 103,532,107.31/11,181.75
  6. Step 6: Final answer
    x = 9,259.03

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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.