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Finding the Fourth Proportional to 10,131.78, 13,980.15 and 5,655.36

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Solution

The fourth proportional to 10,131.78, 13,980.15 and 5,655.36 is: 7,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.78 : 13,980.15 = 5,655.36 : x
  2. Step 2: Convert to fraction form
    10,131.78/13,980.15 = 5,655.36/x
  3. Step 3: Cross multiply
    10,131.78x = 13,980.15 × 5,655.36
  4. Step 4: Simplify right side
    10,131.78x = 79,062,781.10
  5. Step 5: Solve for x
    x = 79,062,781.10/10,131.78
  6. Step 6: Final answer
    x = 7,803.44

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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.