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Finding the Fourth Proportional to 8,612.16, 11,890.66 and 5,783.76

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Solution

The fourth proportional to 8,612.16, 11,890.66 and 5,783.76 is: 7,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.16 : 11,890.66 = 5,783.76 : x
  2. Step 2: Convert to fraction form
    8,612.16/11,890.66 = 5,783.76/x
  3. Step 3: Cross multiply
    8,612.16x = 11,890.66 × 5,783.76
  4. Step 4: Simplify right side
    8,612.16x = 68,772,723.68
  5. Step 5: Solve for x
    x = 68,772,723.68/8,612.16
  6. Step 6: Final answer
    x = 7,985.54

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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.