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Finding the Fourth Proportional to 10,131.14, 13,980.82 and 5,655.40

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Solution

The fourth proportional to 10,131.14, 13,980.82 and 5,655.40 is: 7,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.14 : 13,980.82 = 5,655.40 : x
  2. Step 2: Convert to fraction form
    10,131.14/13,980.82 = 5,655.40/x
  3. Step 3: Cross multiply
    10,131.14x = 13,980.82 × 5,655.40
  4. Step 4: Simplify right side
    10,131.14x = 79,067,129.43
  5. Step 5: Solve for x
    x = 79,067,129.43/10,131.14
  6. Step 6: Final answer
    x = 7,804.37

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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.