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Finding the Fourth Proportional to 11,102.37, 15,322.74 and 7,069.61

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Solution

The fourth proportional to 11,102.37, 15,322.74 and 7,069.61 is: 9,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.37 : 15,322.74 = 7,069.61 : x
  2. Step 2: Convert to fraction form
    11,102.37/15,322.74 = 7,069.61/x
  3. Step 3: Cross multiply
    11,102.37x = 15,322.74 × 7,069.61
  4. Step 4: Simplify right side
    11,102.37x = 108,325,719.32
  5. Step 5: Solve for x
    x = 108,325,719.32/11,102.37
  6. Step 6: Final answer
    x = 9,756.99

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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.