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Finding the Fourth Proportional to 10,435.14, 14,400.71 and 5,719.41

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Solution

The fourth proportional to 10,435.14, 14,400.71 and 5,719.41 is: 7,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.14 : 14,400.71 = 5,719.41 : x
  2. Step 2: Convert to fraction form
    10,435.14/14,400.71 = 5,719.41/x
  3. Step 3: Cross multiply
    10,435.14x = 14,400.71 × 5,719.41
  4. Step 4: Simplify right side
    10,435.14x = 82,363,536.18
  5. Step 5: Solve for x
    x = 82,363,536.18/10,435.14
  6. Step 6: Final answer
    x = 7,892.90

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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.