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Finding the Fourth Proportional to 10,945, 15,104.91 and 6,230.80

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Solution

The fourth proportional to 10,945, 15,104.91 and 6,230.80 is: 8,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945 : 15,104.91 = 6,230.80 : x
  2. Step 2: Convert to fraction form
    10,945/15,104.91 = 6,230.80/x
  3. Step 3: Cross multiply
    10,945x = 15,104.91 × 6,230.80
  4. Step 4: Simplify right side
    10,945x = 94,115,673.23
  5. Step 5: Solve for x
    x = 94,115,673.23/10,945
  6. Step 6: Final answer
    x = 8,598.97

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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.