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Finding the Fourth Proportional to 10,204.98, 15,292.86 and 5,813.36

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Solution

The fourth proportional to 10,204.98, 15,292.86 and 5,813.36 is: 8,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.98 : 15,292.86 = 5,813.36 : x
  2. Step 2: Convert to fraction form
    10,204.98/15,292.86 = 5,813.36/x
  3. Step 3: Cross multiply
    10,204.98x = 15,292.86 × 5,813.36
  4. Step 4: Simplify right side
    10,204.98x = 88,902,900.61
  5. Step 5: Solve for x
    x = 88,902,900.61/10,204.98
  6. Step 6: Final answer
    x = 8,711.72

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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.