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Finding the Fourth Proportional to 10,605.36, 15,897.12 and 5,050.44

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Solution

The fourth proportional to 10,605.36, 15,897.12 and 5,050.44 is: 7,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.36 : 15,897.12 = 5,050.44 : x
  2. Step 2: Convert to fraction form
    10,605.36/15,897.12 = 5,050.44/x
  3. Step 3: Cross multiply
    10,605.36x = 15,897.12 × 5,050.44
  4. Step 4: Simplify right side
    10,605.36x = 80,287,450.73
  5. Step 5: Solve for x
    x = 80,287,450.73/10,605.36
  6. Step 6: Final answer
    x = 7,570.46

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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.