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Finding the Fourth Proportional to 10,499.64, 15,745.67 and 3,478.35

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Solution

The fourth proportional to 10,499.64, 15,745.67 and 3,478.35 is: 5,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.64 : 15,745.67 = 3,478.35 : x
  2. Step 2: Convert to fraction form
    10,499.64/15,745.67 = 3,478.35/x
  3. Step 3: Cross multiply
    10,499.64x = 15,745.67 × 3,478.35
  4. Step 4: Simplify right side
    10,499.64x = 54,768,951.24
  5. Step 5: Solve for x
    x = 54,768,951.24/10,499.64
  6. Step 6: Final answer
    x = 5,216.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.