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Finding the Fourth Proportional to 10,461.02, 14,435.82 and 5,745.02

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Solution

The fourth proportional to 10,461.02, 14,435.82 and 5,745.02 is: 7,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.02 : 14,435.82 = 5,745.02 : x
  2. Step 2: Convert to fraction form
    10,461.02/14,435.82 = 5,745.02/x
  3. Step 3: Cross multiply
    10,461.02x = 14,435.82 × 5,745.02
  4. Step 4: Simplify right side
    10,461.02x = 82,934,074.62
  5. Step 5: Solve for x
    x = 82,934,074.62/10,461.02
  6. Step 6: Final answer
    x = 7,927.91

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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.