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Finding the Fourth Proportional to 10,762.70, 14,855.63 and 7,413.84

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Solution

The fourth proportional to 10,762.70, 14,855.63 and 7,413.84 is: 10,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.70 : 14,855.63 = 7,413.84 : x
  2. Step 2: Convert to fraction form
    10,762.70/14,855.63 = 7,413.84/x
  3. Step 3: Cross multiply
    10,762.70x = 14,855.63 × 7,413.84
  4. Step 4: Simplify right side
    10,762.70x = 110,137,226.85
  5. Step 5: Solve for x
    x = 110,137,226.85/10,762.70
  6. Step 6: Final answer
    x = 10,233.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.