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Finding the Fourth Proportional to 7,477.13, 11,216.34 and 1,930.43

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Solution

The fourth proportional to 7,477.13, 11,216.34 and 1,930.43 is: 2,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.13 : 11,216.34 = 1,930.43 : x
  2. Step 2: Convert to fraction form
    7,477.13/11,216.34 = 1,930.43/x
  3. Step 3: Cross multiply
    7,477.13x = 11,216.34 × 1,930.43
  4. Step 4: Simplify right side
    7,477.13x = 21,652,303.14
  5. Step 5: Solve for x
    x = 21,652,303.14/7,477.13
  6. Step 6: Final answer
    x = 2,895.81

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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.