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Finding the Fourth Proportional to 10,497.50, 14,486.07 and 6,020.97

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Solution

The fourth proportional to 10,497.50, 14,486.07 and 6,020.97 is: 8,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.50 : 14,486.07 = 6,020.97 : x
  2. Step 2: Convert to fraction form
    10,497.50/14,486.07 = 6,020.97/x
  3. Step 3: Cross multiply
    10,497.50x = 14,486.07 × 6,020.97
  4. Step 4: Simplify right side
    10,497.50x = 87,220,161.14
  5. Step 5: Solve for x
    x = 87,220,161.14/10,497.50
  6. Step 6: Final answer
    x = 8,308.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.