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Finding the Fourth Proportional to 10,259.98, 15,383.81 and 4,012.54

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Solution

The fourth proportional to 10,259.98, 15,383.81 and 4,012.54 is: 6,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.98 : 15,383.81 = 4,012.54 : x
  2. Step 2: Convert to fraction form
    10,259.98/15,383.81 = 4,012.54/x
  3. Step 3: Cross multiply
    10,259.98x = 15,383.81 × 4,012.54
  4. Step 4: Simplify right side
    10,259.98x = 61,728,132.91
  5. Step 5: Solve for x
    x = 61,728,132.91/10,259.98
  6. Step 6: Final answer
    x = 6,016.40

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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.