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Finding the Fourth Proportional to 7,722.66, 11,583.30 and 4,946.34

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Solution

The fourth proportional to 7,722.66, 11,583.30 and 4,946.34 is: 7,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.66 : 11,583.30 = 4,946.34 : x
  2. Step 2: Convert to fraction form
    7,722.66/11,583.30 = 4,946.34/x
  3. Step 3: Cross multiply
    7,722.66x = 11,583.30 × 4,946.34
  4. Step 4: Simplify right side
    7,722.66x = 57,294,940.12
  5. Step 5: Solve for x
    x = 57,294,940.12/7,722.66
  6. Step 6: Final answer
    x = 7,419.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.