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Finding the Fourth Proportional to 11,301.94, 15,588.37 and 7,765.30

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Solution

The fourth proportional to 11,301.94, 15,588.37 and 7,765.30 is: 10,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.94 : 15,588.37 = 7,765.30 : x
  2. Step 2: Convert to fraction form
    11,301.94/15,588.37 = 7,765.30/x
  3. Step 3: Cross multiply
    11,301.94x = 15,588.37 × 7,765.30
  4. Step 4: Simplify right side
    11,301.94x = 121,048,369.56
  5. Step 5: Solve for x
    x = 121,048,369.56/11,301.94
  6. Step 6: Final answer
    x = 10,710.41

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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.