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Finding the Fourth Proportional to 10,413.84, 14,370.86 and 5,698.02

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Solution

The fourth proportional to 10,413.84, 14,370.86 and 5,698.02 is: 7,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.84 : 14,370.86 = 5,698.02 : x
  2. Step 2: Convert to fraction form
    10,413.84/14,370.86 = 5,698.02/x
  3. Step 3: Cross multiply
    10,413.84x = 14,370.86 × 5,698.02
  4. Step 4: Simplify right side
    10,413.84x = 81,885,447.70
  5. Step 5: Solve for x
    x = 81,885,447.70/10,413.84
  6. Step 6: Final answer
    x = 7,863.14

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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.