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Finding the Fourth Proportional to 10,435.56, 14,400.99 and 5,719.83

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Solution

The fourth proportional to 10,435.56, 14,400.99 and 5,719.83 is: 7,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.56 : 14,400.99 = 5,719.83 : x
  2. Step 2: Convert to fraction form
    10,435.56/14,400.99 = 5,719.83/x
  3. Step 3: Cross multiply
    10,435.56x = 14,400.99 × 5,719.83
  4. Step 4: Simplify right side
    10,435.56x = 82,371,214.63
  5. Step 5: Solve for x
    x = 82,371,214.63/10,435.56
  6. Step 6: Final answer
    x = 7,893.32

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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.