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Finding the Fourth Proportional to 7,697.36, 11,547.96 and 3,080.24

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Solution

The fourth proportional to 7,697.36, 11,547.96 and 3,080.24 is: 4,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.36 : 11,547.96 = 3,080.24 : x
  2. Step 2: Convert to fraction form
    7,697.36/11,547.96 = 3,080.24/x
  3. Step 3: Cross multiply
    7,697.36x = 11,547.96 × 3,080.24
  4. Step 4: Simplify right side
    7,697.36x = 35,570,488.31
  5. Step 5: Solve for x
    x = 35,570,488.31/7,697.36
  6. Step 6: Final answer
    x = 4,621.13

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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.