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Finding the Fourth Proportional to 10,341.98, 15,525.12 and 5,413.94

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Solution

The fourth proportional to 10,341.98, 15,525.12 and 5,413.94 is: 8,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.98 : 15,525.12 = 5,413.94 : x
  2. Step 2: Convert to fraction form
    10,341.98/15,525.12 = 5,413.94/x
  3. Step 3: Cross multiply
    10,341.98x = 15,525.12 × 5,413.94
  4. Step 4: Simplify right side
    10,341.98x = 84,052,068.17
  5. Step 5: Solve for x
    x = 84,052,068.17/10,341.98
  6. Step 6: Final answer
    x = 8,127.27

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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.