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Finding the Fourth Proportional to 10,538.36, 15,774.40 and 7,232.12

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Solution

The fourth proportional to 10,538.36, 15,774.40 and 7,232.12 is: 10,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.36 : 15,774.40 = 7,232.12 : x
  2. Step 2: Convert to fraction form
    10,538.36/15,774.40 = 7,232.12/x
  3. Step 3: Cross multiply
    10,538.36x = 15,774.40 × 7,232.12
  4. Step 4: Simplify right side
    10,538.36x = 114,082,353.73
  5. Step 5: Solve for x
    x = 114,082,353.73/10,538.36
  6. Step 6: Final answer
    x = 10,825.44

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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.