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Finding the Fourth Proportional to 8,199.96, 11,315.70 and 4,663.68

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Solution

The fourth proportional to 8,199.96, 11,315.70 and 4,663.68 is: 6,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.96 : 11,315.70 = 4,663.68 : x
  2. Step 2: Convert to fraction form
    8,199.96/11,315.70 = 4,663.68/x
  3. Step 3: Cross multiply
    8,199.96x = 11,315.70 × 4,663.68
  4. Step 4: Simplify right side
    8,199.96x = 52,772,803.78
  5. Step 5: Solve for x
    x = 52,772,803.78/8,199.96
  6. Step 6: Final answer
    x = 6,435.74

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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.