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Finding the Fourth Proportional to 11,925.32, 16,454.66 and 6,822.45

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Solution

The fourth proportional to 11,925.32, 16,454.66 and 6,822.45 is: 9,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.32 : 16,454.66 = 6,822.45 : x
  2. Step 2: Convert to fraction form
    11,925.32/16,454.66 = 6,822.45/x
  3. Step 3: Cross multiply
    11,925.32x = 16,454.66 × 6,822.45
  4. Step 4: Simplify right side
    11,925.32x = 112,261,061.00
  5. Step 5: Solve for x
    x = 112,261,061.00/11,925.32
  6. Step 6: Final answer
    x = 9,413.68

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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.