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Finding the Fourth Proportional to 10,196.98, 15,285.13 and 6,910.40

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Solution

The fourth proportional to 10,196.98, 15,285.13 and 6,910.40 is: 10,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.98 : 15,285.13 = 6,910.40 : x
  2. Step 2: Convert to fraction form
    10,196.98/15,285.13 = 6,910.40/x
  3. Step 3: Cross multiply
    10,196.98x = 15,285.13 × 6,910.40
  4. Step 4: Simplify right side
    10,196.98x = 105,626,362.35
  5. Step 5: Solve for x
    x = 105,626,362.35/10,196.98
  6. Step 6: Final answer
    x = 10,358.59

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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.