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Finding the Fourth Proportional to 6,779.74, 10,153.84 and 6,592.90

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Solution

The fourth proportional to 6,779.74, 10,153.84 and 6,592.90 is: 9,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.74 : 10,153.84 = 6,592.90 : x
  2. Step 2: Convert to fraction form
    6,779.74/10,153.84 = 6,592.90/x
  3. Step 3: Cross multiply
    6,779.74x = 10,153.84 × 6,592.90
  4. Step 4: Simplify right side
    6,779.74x = 66,943,251.74
  5. Step 5: Solve for x
    x = 66,943,251.74/6,779.74
  6. Step 6: Final answer
    x = 9,874.01

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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.