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Finding the Fourth Proportional to 11,597.88, 17,405.94 and 4,677.24

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Solution

The fourth proportional to 11,597.88, 17,405.94 and 4,677.24 is: 7,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.88 : 17,405.94 = 4,677.24 : x
  2. Step 2: Convert to fraction form
    11,597.88/17,405.94 = 4,677.24/x
  3. Step 3: Cross multiply
    11,597.88x = 17,405.94 × 4,677.24
  4. Step 4: Simplify right side
    11,597.88x = 81,411,758.81
  5. Step 5: Solve for x
    x = 81,411,758.81/11,597.88
  6. Step 6: Final answer
    x = 7,019.54

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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.