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Finding the Fourth Proportional to 11,086.76, 15,301.40 and 6,782.32

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Solution

The fourth proportional to 11,086.76, 15,301.40 and 6,782.32 is: 9,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.76 : 15,301.40 = 6,782.32 : x
  2. Step 2: Convert to fraction form
    11,086.76/15,301.40 = 6,782.32/x
  3. Step 3: Cross multiply
    11,086.76x = 15,301.40 × 6,782.32
  4. Step 4: Simplify right side
    11,086.76x = 103,778,991.25
  5. Step 5: Solve for x
    x = 103,778,991.25/11,086.76
  6. Step 6: Final answer
    x = 9,360.62

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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.