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Finding the Fourth Proportional to 10,745.78, 14,830.04 and 5,966.01

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Solution

The fourth proportional to 10,745.78, 14,830.04 and 5,966.01 is: 8,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.78 : 14,830.04 = 5,966.01 : x
  2. Step 2: Convert to fraction form
    10,745.78/14,830.04 = 5,966.01/x
  3. Step 3: Cross multiply
    10,745.78x = 14,830.04 × 5,966.01
  4. Step 4: Simplify right side
    10,745.78x = 88,476,181.86
  5. Step 5: Solve for x
    x = 88,476,181.86/10,745.78
  6. Step 6: Final answer
    x = 8,233.58

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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.