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Finding the Fourth Proportional to 10,263.98, 15,389.80 and 4,016.54

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Solution

The fourth proportional to 10,263.98, 15,389.80 and 4,016.54 is: 6,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.98 : 15,389.80 = 4,016.54 : x
  2. Step 2: Convert to fraction form
    10,263.98/15,389.80 = 4,016.54/x
  3. Step 3: Cross multiply
    10,263.98x = 15,389.80 × 4,016.54
  4. Step 4: Simplify right side
    10,263.98x = 61,813,747.29
  5. Step 5: Solve for x
    x = 61,813,747.29/10,263.98
  6. Step 6: Final answer
    x = 6,022.40

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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.