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Finding the Fourth Proportional to 7,779.72, 11,671.40 and 4,493.75

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Solution

The fourth proportional to 7,779.72, 11,671.40 and 4,493.75 is: 6,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.72 : 11,671.40 = 4,493.75 : x
  2. Step 2: Convert to fraction form
    7,779.72/11,671.40 = 4,493.75/x
  3. Step 3: Cross multiply
    7,779.72x = 11,671.40 × 4,493.75
  4. Step 4: Simplify right side
    7,779.72x = 52,448,353.75
  5. Step 5: Solve for x
    x = 52,448,353.75/7,779.72
  6. Step 6: Final answer
    x = 6,741.68

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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.