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Finding the Fourth Proportional to 8,053.47, 11,108.17 and 7,782.53

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Solution

The fourth proportional to 8,053.47, 11,108.17 and 7,782.53 is: 10,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.47 : 11,108.17 = 7,782.53 : x
  2. Step 2: Convert to fraction form
    8,053.47/11,108.17 = 7,782.53/x
  3. Step 3: Cross multiply
    8,053.47x = 11,108.17 × 7,782.53
  4. Step 4: Simplify right side
    8,053.47x = 86,449,666.27
  5. Step 5: Solve for x
    x = 86,449,666.27/8,053.47
  6. Step 6: Final answer
    x = 10,734.46

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