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Finding the Fourth Proportional to 7,477.29, 11,215.87 and 1,930.16

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Solution

The fourth proportional to 7,477.29, 11,215.87 and 1,930.16 is: 2,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.29 : 11,215.87 = 1,930.16 : x
  2. Step 2: Convert to fraction form
    7,477.29/11,215.87 = 1,930.16/x
  3. Step 3: Cross multiply
    7,477.29x = 11,215.87 × 1,930.16
  4. Step 4: Simplify right side
    7,477.29x = 21,648,357.91
  5. Step 5: Solve for x
    x = 21,648,357.91/7,477.29
  6. Step 6: Final answer
    x = 2,895.22

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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.