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Finding the Fourth Proportional to 10,682.07, 16,009.17 and 7,730.45

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Solution

The fourth proportional to 10,682.07, 16,009.17 and 7,730.45 is: 11,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.07 : 16,009.17 = 7,730.45 : x
  2. Step 2: Convert to fraction form
    10,682.07/16,009.17 = 7,730.45/x
  3. Step 3: Cross multiply
    10,682.07x = 16,009.17 × 7,730.45
  4. Step 4: Simplify right side
    10,682.07x = 123,758,129.28
  5. Step 5: Solve for x
    x = 123,758,129.28/10,682.07
  6. Step 6: Final answer
    x = 11,585.59

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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.