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Finding the Fourth Proportional to 11,856.53, 16,363.64 and 6,820.66

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Solution

The fourth proportional to 11,856.53, 16,363.64 and 6,820.66 is: 9,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.53 : 16,363.64 = 6,820.66 : x
  2. Step 2: Convert to fraction form
    11,856.53/16,363.64 = 6,820.66/x
  3. Step 3: Cross multiply
    11,856.53x = 16,363.64 × 6,820.66
  4. Step 4: Simplify right side
    11,856.53x = 111,610,823.94
  5. Step 5: Solve for x
    x = 111,610,823.94/11,856.53
  6. Step 6: Final answer
    x = 9,413.45

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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.