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Finding the Fourth Proportional to 7,779.10, 11,663.96 and 3,099.84

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Solution

The fourth proportional to 7,779.10, 11,663.96 and 3,099.84 is: 4,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.10 : 11,663.96 = 3,099.84 : x
  2. Step 2: Convert to fraction form
    7,779.10/11,663.96 = 3,099.84/x
  3. Step 3: Cross multiply
    7,779.10x = 11,663.96 × 3,099.84
  4. Step 4: Simplify right side
    7,779.10x = 36,156,409.77
  5. Step 5: Solve for x
    x = 36,156,409.77/7,779.10
  6. Step 6: Final answer
    x = 4,647.89

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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.