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Finding the Fourth Proportional to 10,047.26, 15,071.03 and 4,782.82

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Solution

The fourth proportional to 10,047.26, 15,071.03 and 4,782.82 is: 7,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.26 : 15,071.03 = 4,782.82 : x
  2. Step 2: Convert to fraction form
    10,047.26/15,071.03 = 4,782.82/x
  3. Step 3: Cross multiply
    10,047.26x = 15,071.03 × 4,782.82
  4. Step 4: Simplify right side
    10,047.26x = 72,082,023.70
  5. Step 5: Solve for x
    x = 72,082,023.70/10,047.26
  6. Step 6: Final answer
    x = 7,174.30

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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.