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Finding the Fourth Proportional to 7,478.88, 11,221.74 and 3,779.16

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Solution

The fourth proportional to 7,478.88, 11,221.74 and 3,779.16 is: 5,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.88 : 11,221.74 = 3,779.16 : x
  2. Step 2: Convert to fraction form
    7,478.88/11,221.74 = 3,779.16/x
  3. Step 3: Cross multiply
    7,478.88x = 11,221.74 × 3,779.16
  4. Step 4: Simplify right side
    7,478.88x = 42,408,750.94
  5. Step 5: Solve for x
    x = 42,408,750.94/7,478.88
  6. Step 6: Final answer
    x = 5,670.47

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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.