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Finding the Fourth Proportional to 11,347.70, 15,659.42 and 6,311.81

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Solution

The fourth proportional to 11,347.70, 15,659.42 and 6,311.81 is: 8,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.70 : 15,659.42 = 6,311.81 : x
  2. Step 2: Convert to fraction form
    11,347.70/15,659.42 = 6,311.81/x
  3. Step 3: Cross multiply
    11,347.70x = 15,659.42 × 6,311.81
  4. Step 4: Simplify right side
    11,347.70x = 98,839,283.75
  5. Step 5: Solve for x
    x = 98,839,283.75/11,347.70
  6. Step 6: Final answer
    x = 8,710.07

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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.