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Finding the Fourth Proportional to 10,131.90, 13,980.24 and 5,655.30

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Solution

The fourth proportional to 10,131.90, 13,980.24 and 5,655.30 is: 7,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.90 : 13,980.24 = 5,655.30 : x
  2. Step 2: Convert to fraction form
    10,131.90/13,980.24 = 5,655.30/x
  3. Step 3: Cross multiply
    10,131.90x = 13,980.24 × 5,655.30
  4. Step 4: Simplify right side
    10,131.90x = 79,062,451.27
  5. Step 5: Solve for x
    x = 79,062,451.27/10,131.90
  6. Step 6: Final answer
    x = 7,803.32

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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.