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Finding the Fourth Proportional to 11,315.69, 16,880.53 and 9,661.77

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Solution

The fourth proportional to 11,315.69, 16,880.53 and 9,661.77 is: 14,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.69 : 16,880.53 = 9,661.77 : x
  2. Step 2: Convert to fraction form
    11,315.69/16,880.53 = 9,661.77/x
  3. Step 3: Cross multiply
    11,315.69x = 16,880.53 × 9,661.77
  4. Step 4: Simplify right side
    11,315.69x = 163,095,774.18
  5. Step 5: Solve for x
    x = 163,095,774.18/11,315.69
  6. Step 6: Final answer
    x = 14,413.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.