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Finding the Fourth Proportional to 11,544.63, 17,312.84 and 4,047.37

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Solution

The fourth proportional to 11,544.63, 17,312.84 and 4,047.37 is: 6,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.63 : 17,312.84 = 4,047.37 : x
  2. Step 2: Convert to fraction form
    11,544.63/17,312.84 = 4,047.37/x
  3. Step 3: Cross multiply
    11,544.63x = 17,312.84 × 4,047.37
  4. Step 4: Simplify right side
    11,544.63x = 70,071,420.89
  5. Step 5: Solve for x
    x = 70,071,420.89/11,544.63
  6. Step 6: Final answer
    x = 6,069.61

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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.