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Finding the Fourth Proportional to 10,090.42, 15,140.07 and 5,164.12

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Solution

The fourth proportional to 10,090.42, 15,140.07 and 5,164.12 is: 7,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.42 : 15,140.07 = 5,164.12 : x
  2. Step 2: Convert to fraction form
    10,090.42/15,140.07 = 5,164.12/x
  3. Step 3: Cross multiply
    10,090.42x = 15,140.07 × 5,164.12
  4. Step 4: Simplify right side
    10,090.42x = 78,185,138.29
  5. Step 5: Solve for x
    x = 78,185,138.29/10,090.42
  6. Step 6: Final answer
    x = 7,748.45

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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.