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Finding the Fourth Proportional to 11,300.12, 15,600.37 and 7,720.46

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Solution

The fourth proportional to 11,300.12, 15,600.37 and 7,720.46 is: 10,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.12 : 15,600.37 = 7,720.46 : x
  2. Step 2: Convert to fraction form
    11,300.12/15,600.37 = 7,720.46/x
  3. Step 3: Cross multiply
    11,300.12x = 15,600.37 × 7,720.46
  4. Step 4: Simplify right side
    11,300.12x = 120,441,974.27
  5. Step 5: Solve for x
    x = 120,441,974.27/11,300.12
  6. Step 6: Final answer
    x = 10,658.47

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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.