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Finding the Fourth Proportional to 7,733.68, 10,665.48 and 5,080.16

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Solution

The fourth proportional to 7,733.68, 10,665.48 and 5,080.16 is: 7,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.68 : 10,665.48 = 5,080.16 : x
  2. Step 2: Convert to fraction form
    7,733.68/10,665.48 = 5,080.16/x
  3. Step 3: Cross multiply
    7,733.68x = 10,665.48 × 5,080.16
  4. Step 4: Simplify right side
    7,733.68x = 54,182,344.88
  5. Step 5: Solve for x
    x = 54,182,344.88/7,733.68
  6. Step 6: Final answer
    x = 7,006.02

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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.