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Finding the Fourth Proportional to 7,779.40, 10,736.61 and 4,947.05

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Solution

The fourth proportional to 7,779.40, 10,736.61 and 4,947.05 is: 6,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.40 : 10,736.61 = 4,947.05 : x
  2. Step 2: Convert to fraction form
    7,779.40/10,736.61 = 4,947.05/x
  3. Step 3: Cross multiply
    7,779.40x = 10,736.61 × 4,947.05
  4. Step 4: Simplify right side
    7,779.40x = 53,114,546.50
  5. Step 5: Solve for x
    x = 53,114,546.50/7,779.40
  6. Step 6: Final answer
    x = 6,827.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.