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Finding the Fourth Proportional to 8,317.84, 11,478.30 and 4,960.58

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Solution

The fourth proportional to 8,317.84, 11,478.30 and 4,960.58 is: 6,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.84 : 11,478.30 = 4,960.58 : x
  2. Step 2: Convert to fraction form
    8,317.84/11,478.30 = 4,960.58/x
  3. Step 3: Cross multiply
    8,317.84x = 11,478.30 × 4,960.58
  4. Step 4: Simplify right side
    8,317.84x = 56,939,025.41
  5. Step 5: Solve for x
    x = 56,939,025.41/8,317.84
  6. Step 6: Final answer
    x = 6,845.41

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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.