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Finding the Fourth Proportional to 7,544.94, 11,321.16 and 5,047.77

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Solution

The fourth proportional to 7,544.94, 11,321.16 and 5,047.77 is: 7,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.94 : 11,321.16 = 5,047.77 : x
  2. Step 2: Convert to fraction form
    7,544.94/11,321.16 = 5,047.77/x
  3. Step 3: Cross multiply
    7,544.94x = 11,321.16 × 5,047.77
  4. Step 4: Simplify right side
    7,544.94x = 57,146,611.81
  5. Step 5: Solve for x
    x = 57,146,611.81/7,544.94
  6. Step 6: Final answer
    x = 7,574.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.