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Finding the Fourth Proportional to 7,477.15, 11,215.73 and 6,514.87

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Solution

The fourth proportional to 7,477.15, 11,215.73 and 6,514.87 is: 9,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.15 : 11,215.73 = 6,514.87 : x
  2. Step 2: Convert to fraction form
    7,477.15/11,215.73 = 6,514.87/x
  3. Step 3: Cross multiply
    7,477.15x = 11,215.73 × 6,514.87
  4. Step 4: Simplify right side
    7,477.15x = 73,069,022.91
  5. Step 5: Solve for x
    x = 73,069,022.91/7,477.15
  6. Step 6: Final answer
    x = 9,772.31

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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.