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Finding the Fourth Proportional to 11,286.12, 15,577.44 and 7,509.45

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Solution

The fourth proportional to 11,286.12, 15,577.44 and 7,509.45 is: 10,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.12 : 15,577.44 = 7,509.45 : x
  2. Step 2: Convert to fraction form
    11,286.12/15,577.44 = 7,509.45/x
  3. Step 3: Cross multiply
    11,286.12x = 15,577.44 × 7,509.45
  4. Step 4: Simplify right side
    11,286.12x = 116,977,926.75
  5. Step 5: Solve for x
    x = 116,977,926.75/11,286.12
  6. Step 6: Final answer
    x = 10,364.76

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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.