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Finding the Fourth Proportional to 10,129.44, 15,195.42 and 4,284.58

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Solution

The fourth proportional to 10,129.44, 15,195.42 and 4,284.58 is: 6,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.44 : 15,195.42 = 4,284.58 : x
  2. Step 2: Convert to fraction form
    10,129.44/15,195.42 = 4,284.58/x
  3. Step 3: Cross multiply
    10,129.44x = 15,195.42 × 4,284.58
  4. Step 4: Simplify right side
    10,129.44x = 65,105,992.62
  5. Step 5: Solve for x
    x = 65,105,992.62/10,129.44
  6. Step 6: Final answer
    x = 6,427.40

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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.