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Finding the Fourth Proportional to 7,670.58, 11,453.84 and 6,092.82

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Solution

The fourth proportional to 7,670.58, 11,453.84 and 6,092.82 is: 9,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.58 : 11,453.84 = 6,092.82 : x
  2. Step 2: Convert to fraction form
    7,670.58/11,453.84 = 6,092.82/x
  3. Step 3: Cross multiply
    7,670.58x = 11,453.84 × 6,092.82
  4. Step 4: Simplify right side
    7,670.58x = 69,786,154.96
  5. Step 5: Solve for x
    x = 69,786,154.96/7,670.58
  6. Step 6: Final answer
    x = 9,097.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.