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Finding the Fourth Proportional to 10,779.84, 16,170.72 and 7,830.72

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Solution

The fourth proportional to 10,779.84, 16,170.72 and 7,830.72 is: 11,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.84 : 16,170.72 = 7,830.72 : x
  2. Step 2: Convert to fraction form
    10,779.84/16,170.72 = 7,830.72/x
  3. Step 3: Cross multiply
    10,779.84x = 16,170.72 × 7,830.72
  4. Step 4: Simplify right side
    10,779.84x = 126,628,380.52
  5. Step 5: Solve for x
    x = 126,628,380.52/10,779.84
  6. Step 6: Final answer
    x = 11,746.78

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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.