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Finding the Fourth Proportional to 7,723.50, 11,485.89 and 7,477.46

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Solution

The fourth proportional to 7,723.50, 11,485.89 and 7,477.46 is: 11,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.50 : 11,485.89 = 7,477.46 : x
  2. Step 2: Convert to fraction form
    7,723.50/11,485.89 = 7,477.46/x
  3. Step 3: Cross multiply
    7,723.50x = 11,485.89 × 7,477.46
  4. Step 4: Simplify right side
    7,723.50x = 85,885,283.04
  5. Step 5: Solve for x
    x = 85,885,283.04/7,723.50
  6. Step 6: Final answer
    x = 11,120.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.