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Finding the Fourth Proportional to 11,332.54, 15,620.72 and 7,697.45

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Solution

The fourth proportional to 11,332.54, 15,620.72 and 7,697.45 is: 10,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.54 : 15,620.72 = 7,697.45 : x
  2. Step 2: Convert to fraction form
    11,332.54/15,620.72 = 7,697.45/x
  3. Step 3: Cross multiply
    11,332.54x = 15,620.72 × 7,697.45
  4. Step 4: Simplify right side
    11,332.54x = 120,239,672.68
  5. Step 5: Solve for x
    x = 120,239,672.68/11,332.54
  6. Step 6: Final answer
    x = 10,610.13

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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.