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Finding the Fourth Proportional to 10,075.66, 13,906.62 and 5,600.94

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Solution

The fourth proportional to 10,075.66, 13,906.62 and 5,600.94 is: 7,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.66 : 13,906.62 = 5,600.94 : x
  2. Step 2: Convert to fraction form
    10,075.66/13,906.62 = 5,600.94/x
  3. Step 3: Cross multiply
    10,075.66x = 13,906.62 × 5,600.94
  4. Step 4: Simplify right side
    10,075.66x = 77,890,144.22
  5. Step 5: Solve for x
    x = 77,890,144.22/10,075.66
  6. Step 6: Final answer
    x = 7,730.53

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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.