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Finding the Fourth Proportional to 6,691.68, 10,036.80 and 4,090.08

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Solution

The fourth proportional to 6,691.68, 10,036.80 and 4,090.08 is: 6,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.68 : 10,036.80 = 4,090.08 : x
  2. Step 2: Convert to fraction form
    6,691.68/10,036.80 = 4,090.08/x
  3. Step 3: Cross multiply
    6,691.68x = 10,036.80 × 4,090.08
  4. Step 4: Simplify right side
    6,691.68x = 41,051,314.94
  5. Step 5: Solve for x
    x = 41,051,314.94/6,691.68
  6. Step 6: Final answer
    x = 6,134.68

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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.