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Finding the Fourth Proportional to 10,460.53, 14,435.54 and 5,745.10

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Solution

The fourth proportional to 10,460.53, 14,435.54 and 5,745.10 is: 7,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.53 : 14,435.54 = 5,745.10 : x
  2. Step 2: Convert to fraction form
    10,460.53/14,435.54 = 5,745.10/x
  3. Step 3: Cross multiply
    10,460.53x = 14,435.54 × 5,745.10
  4. Step 4: Simplify right side
    10,460.53x = 82,933,620.85
  5. Step 5: Solve for x
    x = 82,933,620.85/10,460.53
  6. Step 6: Final answer
    x = 7,928.24

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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.