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Finding the Fourth Proportional to 10,077.91, 13,907.64 and 5,601.94

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Solution

The fourth proportional to 10,077.91, 13,907.64 and 5,601.94 is: 7,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.91 : 13,907.64 = 5,601.94 : x
  2. Step 2: Convert to fraction form
    10,077.91/13,907.64 = 5,601.94/x
  3. Step 3: Cross multiply
    10,077.91x = 13,907.64 × 5,601.94
  4. Step 4: Simplify right side
    10,077.91x = 77,909,764.82
  5. Step 5: Solve for x
    x = 77,909,764.82/10,077.91
  6. Step 6: Final answer
    x = 7,730.75

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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.