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Finding the Fourth Proportional to 8,321.76, 11,484.00 and 4,964.71

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Solution

The fourth proportional to 8,321.76, 11,484.00 and 4,964.71 is: 6,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.76 : 11,484.00 = 4,964.71 : x
  2. Step 2: Convert to fraction form
    8,321.76/11,484.00 = 4,964.71/x
  3. Step 3: Cross multiply
    8,321.76x = 11,484.00 × 4,964.71
  4. Step 4: Simplify right side
    8,321.76x = 57,014,733.53
  5. Step 5: Solve for x
    x = 57,014,733.53/8,321.76
  6. Step 6: Final answer
    x = 6,851.29

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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.