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Finding the Fourth Proportional to 10,195.50, 14,071.50 and 6,002.94

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Solution

The fourth proportional to 10,195.50, 14,071.50 and 6,002.94 is: 8,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.50 : 14,071.50 = 6,002.94 : x
  2. Step 2: Convert to fraction form
    10,195.50/14,071.50 = 6,002.94/x
  3. Step 3: Cross multiply
    10,195.50x = 14,071.50 × 6,002.94
  4. Step 4: Simplify right side
    10,195.50x = 84,470,370.21
  5. Step 5: Solve for x
    x = 84,470,370.21/10,195.50
  6. Step 6: Final answer
    x = 8,285.06

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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.