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Finding the Fourth Proportional to 8,410.72, 11,605.44 and 5,053

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Solution

The fourth proportional to 8,410.72, 11,605.44 and 5,053 is: 6,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.72 : 11,605.44 = 5,053 : x
  2. Step 2: Convert to fraction form
    8,410.72/11,605.44 = 5,053/x
  3. Step 3: Cross multiply
    8,410.72x = 11,605.44 × 5,053
  4. Step 4: Simplify right side
    8,410.72x = 58,642,288.32
  5. Step 5: Solve for x
    x = 58,642,288.32/8,410.72
  6. Step 6: Final answer
    x = 6,972.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.