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Finding the Fourth Proportional to 10,196.40, 14,070.48 and 5,719.36

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Solution

The fourth proportional to 10,196.40, 14,070.48 and 5,719.36 is: 7,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.40 : 14,070.48 = 5,719.36 : x
  2. Step 2: Convert to fraction form
    10,196.40/14,070.48 = 5,719.36/x
  3. Step 3: Cross multiply
    10,196.40x = 14,070.48 × 5,719.36
  4. Step 4: Simplify right side
    10,196.40x = 80,474,140.49
  5. Step 5: Solve for x
    x = 80,474,140.49/10,196.40
  6. Step 6: Final answer
    x = 7,892.41

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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.