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Finding the Fourth Proportional to 11,357.47, 17,039.70 and 5,814.71

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Solution

The fourth proportional to 11,357.47, 17,039.70 and 5,814.71 is: 8,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.47 : 17,039.70 = 5,814.71 : x
  2. Step 2: Convert to fraction form
    11,357.47/17,039.70 = 5,814.71/x
  3. Step 3: Cross multiply
    11,357.47x = 17,039.70 × 5,814.71
  4. Step 4: Simplify right side
    11,357.47x = 99,080,871.39
  5. Step 5: Solve for x
    x = 99,080,871.39/11,357.47
  6. Step 6: Final answer
    x = 8,723.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.