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Finding the Fourth Proportional to 10,387.03, 14,340.98 and 6,413.98

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Solution

The fourth proportional to 10,387.03, 14,340.98 and 6,413.98 is: 8,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.03 : 14,340.98 = 6,413.98 : x
  2. Step 2: Convert to fraction form
    10,387.03/14,340.98 = 6,413.98/x
  3. Step 3: Cross multiply
    10,387.03x = 14,340.98 × 6,413.98
  4. Step 4: Simplify right side
    10,387.03x = 91,982,758.90
  5. Step 5: Solve for x
    x = 91,982,758.90/10,387.03
  6. Step 6: Final answer
    x = 8,855.54

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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.