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Finding the Fourth Proportional to 11,925.71, 16,457.32 and 6,821.19

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Solution

The fourth proportional to 11,925.71, 16,457.32 and 6,821.19 is: 9,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.71 : 16,457.32 = 6,821.19 : x
  2. Step 2: Convert to fraction form
    11,925.71/16,457.32 = 6,821.19/x
  3. Step 3: Cross multiply
    11,925.71x = 16,457.32 × 6,821.19
  4. Step 4: Simplify right side
    11,925.71x = 112,258,515.14
  5. Step 5: Solve for x
    x = 112,258,515.14/11,925.71
  6. Step 6: Final answer
    x = 9,413.15

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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.