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Finding the Fourth Proportional to 11,885.13, 17,825.00 and 5,307.75

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Solution

The fourth proportional to 11,885.13, 17,825.00 and 5,307.75 is: 7,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.13 : 17,825.00 = 5,307.75 : x
  2. Step 2: Convert to fraction form
    11,885.13/17,825.00 = 5,307.75/x
  3. Step 3: Cross multiply
    11,885.13x = 17,825.00 × 5,307.75
  4. Step 4: Simplify right side
    11,885.13x = 94,610,617.21
  5. Step 5: Solve for x
    x = 94,610,617.21/11,885.13
  6. Step 6: Final answer
    x = 7,960.42

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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.