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Finding the Fourth Proportional to 7,779.68, 11,659.28 and 3,160.16

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Solution

The fourth proportional to 7,779.68, 11,659.28 and 3,160.16 is: 4,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.68 : 11,659.28 = 3,160.16 : x
  2. Step 2: Convert to fraction form
    7,779.68/11,659.28 = 3,160.16/x
  3. Step 3: Cross multiply
    7,779.68x = 11,659.28 × 3,160.16
  4. Step 4: Simplify right side
    7,779.68x = 36,845,190.28
  5. Step 5: Solve for x
    x = 36,845,190.28/7,779.68
  6. Step 6: Final answer
    x = 4,736.08

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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.