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Finding the Fourth Proportional to 11,486.34, 17,223.35 and 5,242.98

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Solution

The fourth proportional to 11,486.34, 17,223.35 and 5,242.98 is: 7,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.34 : 17,223.35 = 5,242.98 : x
  2. Step 2: Convert to fraction form
    11,486.34/17,223.35 = 5,242.98/x
  3. Step 3: Cross multiply
    11,486.34x = 17,223.35 × 5,242.98
  4. Step 4: Simplify right side
    11,486.34x = 90,301,653.37
  5. Step 5: Solve for x
    x = 90,301,653.37/11,486.34
  6. Step 6: Final answer
    x = 7,861.66

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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.