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Finding the Fourth Proportional to 10,195.84, 14,070.17 and 5,719.49

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Solution

The fourth proportional to 10,195.84, 14,070.17 and 5,719.49 is: 7,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.84 : 14,070.17 = 5,719.49 : x
  2. Step 2: Convert to fraction form
    10,195.84/14,070.17 = 5,719.49/x
  3. Step 3: Cross multiply
    10,195.84x = 14,070.17 × 5,719.49
  4. Step 4: Simplify right side
    10,195.84x = 80,474,196.61
  5. Step 5: Solve for x
    x = 80,474,196.61/10,195.84
  6. Step 6: Final answer
    x = 7,892.85

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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.