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Finding the Fourth Proportional to 11,400.64, 17,088 and 4,822.72

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Solution

The fourth proportional to 11,400.64, 17,088 and 4,822.72 is: 7,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.64 : 17,088 = 4,822.72 : x
  2. Step 2: Convert to fraction form
    11,400.64/17,088 = 4,822.72/x
  3. Step 3: Cross multiply
    11,400.64x = 17,088 × 4,822.72
  4. Step 4: Simplify right side
    11,400.64x = 82,410,639.36
  5. Step 5: Solve for x
    x = 82,410,639.36/11,400.64
  6. Step 6: Final answer
    x = 7,228.60

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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.