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Finding the Fourth Proportional to 7,779.70, 11,661.95 and 3,098.30

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Solution

The fourth proportional to 7,779.70, 11,661.95 and 3,098.30 is: 4,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.70 : 11,661.95 = 3,098.30 : x
  2. Step 2: Convert to fraction form
    7,779.70/11,661.95 = 3,098.30/x
  3. Step 3: Cross multiply
    7,779.70x = 11,661.95 × 3,098.30
  4. Step 4: Simplify right side
    7,779.70x = 36,132,256.59
  5. Step 5: Solve for x
    x = 36,132,256.59/7,779.70
  6. Step 6: Final answer
    x = 4,644.43

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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.