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Finding the Fourth Proportional to 8,499.71, 11,730.34 and 4,964.06

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Solution

The fourth proportional to 8,499.71, 11,730.34 and 4,964.06 is: 6,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.71 : 11,730.34 = 4,964.06 : x
  2. Step 2: Convert to fraction form
    8,499.71/11,730.34 = 4,964.06/x
  3. Step 3: Cross multiply
    8,499.71x = 11,730.34 × 4,964.06
  4. Step 4: Simplify right side
    8,499.71x = 58,230,111.58
  5. Step 5: Solve for x
    x = 58,230,111.58/8,499.71
  6. Step 6: Final answer
    x = 6,850.84

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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.