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Finding the Fourth Proportional to 11,471.47, 17,195.59 and 7,774.08

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Solution

The fourth proportional to 11,471.47, 17,195.59 and 7,774.08 is: 11,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.47 : 17,195.59 = 7,774.08 : x
  2. Step 2: Convert to fraction form
    11,471.47/17,195.59 = 7,774.08/x
  3. Step 3: Cross multiply
    11,471.47x = 17,195.59 × 7,774.08
  4. Step 4: Simplify right side
    11,471.47x = 133,679,892.31
  5. Step 5: Solve for x
    x = 133,679,892.31/11,471.47
  6. Step 6: Final answer
    x = 11,653.25

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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.