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Finding the Fourth Proportional to 7,357.14, 11,039.22 and 3,461.76

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Solution

The fourth proportional to 7,357.14, 11,039.22 and 3,461.76 is: 5,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.14 : 11,039.22 = 3,461.76 : x
  2. Step 2: Convert to fraction form
    7,357.14/11,039.22 = 3,461.76/x
  3. Step 3: Cross multiply
    7,357.14x = 11,039.22 × 3,461.76
  4. Step 4: Simplify right side
    7,357.14x = 38,215,130.23
  5. Step 5: Solve for x
    x = 38,215,130.23/7,357.14
  6. Step 6: Final answer
    x = 5,194.29

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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.