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Finding the Fourth Proportional to 10,106.12, 15,131.19 and 5,165.12

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Solution

The fourth proportional to 10,106.12, 15,131.19 and 5,165.12 is: 7,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.12 : 15,131.19 = 5,165.12 : x
  2. Step 2: Convert to fraction form
    10,106.12/15,131.19 = 5,165.12/x
  3. Step 3: Cross multiply
    10,106.12x = 15,131.19 × 5,165.12
  4. Step 4: Simplify right side
    10,106.12x = 78,154,412.09
  5. Step 5: Solve for x
    x = 78,154,412.09/10,106.12
  6. Step 6: Final answer
    x = 7,733.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.