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Finding the Fourth Proportional to 11,181.65, 15,430.69 and 6,145.87

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Solution

The fourth proportional to 11,181.65, 15,430.69 and 6,145.87 is: 8,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.65 : 15,430.69 = 6,145.87 : x
  2. Step 2: Convert to fraction form
    11,181.65/15,430.69 = 6,145.87/x
  3. Step 3: Cross multiply
    11,181.65x = 15,430.69 × 6,145.87
  4. Step 4: Simplify right side
    11,181.65x = 94,835,014.75
  5. Step 5: Solve for x
    x = 94,835,014.75/11,181.65
  6. Step 6: Final answer
    x = 8,481.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.