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Finding the Fourth Proportional to 7,707.01, 11,563.41 and 4,588.81

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Solution

The fourth proportional to 7,707.01, 11,563.41 and 4,588.81 is: 6,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.01 : 11,563.41 = 4,588.81 : x
  2. Step 2: Convert to fraction form
    7,707.01/11,563.41 = 4,588.81/x
  3. Step 3: Cross multiply
    7,707.01x = 11,563.41 × 4,588.81
  4. Step 4: Simplify right side
    7,707.01x = 53,062,291.44
  5. Step 5: Solve for x
    x = 53,062,291.44/7,707.01
  6. Step 6: Final answer
    x = 6,884.94

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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.