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Finding the Fourth Proportional to 11,343.85, 15,655.46 and 6,309.04

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Solution

The fourth proportional to 11,343.85, 15,655.46 and 6,309.04 is: 8,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.85 : 15,655.46 = 6,309.04 : x
  2. Step 2: Convert to fraction form
    11,343.85/15,655.46 = 6,309.04/x
  3. Step 3: Cross multiply
    11,343.85x = 15,655.46 × 6,309.04
  4. Step 4: Simplify right side
    11,343.85x = 98,770,944.13
  5. Step 5: Solve for x
    x = 98,770,944.13/11,343.85
  6. Step 6: Final answer
    x = 8,707.01

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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.