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Finding the Fourth Proportional to 10,193.10, 14,066.13 and 5,717.58

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Solution

The fourth proportional to 10,193.10, 14,066.13 and 5,717.58 is: 7,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.10 : 14,066.13 = 5,717.58 : x
  2. Step 2: Convert to fraction form
    10,193.10/14,066.13 = 5,717.58/x
  3. Step 3: Cross multiply
    10,193.10x = 14,066.13 × 5,717.58
  4. Step 4: Simplify right side
    10,193.10x = 80,424,223.57
  5. Step 5: Solve for x
    x = 80,424,223.57/10,193.10
  6. Step 6: Final answer
    x = 7,890.07

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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.