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Finding the Fourth Proportional to 11,186.06, 15,435.86 and 6,586.11

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Solution

The fourth proportional to 11,186.06, 15,435.86 and 6,586.11 is: 9,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.06 : 15,435.86 = 6,586.11 : x
  2. Step 2: Convert to fraction form
    11,186.06/15,435.86 = 6,586.11/x
  3. Step 3: Cross multiply
    11,186.06x = 15,435.86 × 6,586.11
  4. Step 4: Simplify right side
    11,186.06x = 101,662,238.97
  5. Step 5: Solve for x
    x = 101,662,238.97/11,186.06
  6. Step 6: Final answer
    x = 9,088.30

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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.