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Finding the Fourth Proportional to 10,195.70, 14,070.09 and 5,949.68

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Solution

The fourth proportional to 10,195.70, 14,070.09 and 5,949.68 is: 8,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.70 : 14,070.09 = 5,949.68 : x
  2. Step 2: Convert to fraction form
    10,195.70/14,070.09 = 5,949.68/x
  3. Step 3: Cross multiply
    10,195.70x = 14,070.09 × 5,949.68
  4. Step 4: Simplify right side
    10,195.70x = 83,712,462.72
  5. Step 5: Solve for x
    x = 83,712,462.72/10,195.70
  6. Step 6: Final answer
    x = 8,210.57

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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.