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Finding the Fourth Proportional to 11,663.72, 17,502.84 and 5,090

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Solution

The fourth proportional to 11,663.72, 17,502.84 and 5,090 is: 7,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.72 : 17,502.84 = 5,090 : x
  2. Step 2: Convert to fraction form
    11,663.72/17,502.84 = 5,090/x
  3. Step 3: Cross multiply
    11,663.72x = 17,502.84 × 5,090
  4. Step 4: Simplify right side
    11,663.72x = 89,089,455.60
  5. Step 5: Solve for x
    x = 89,089,455.60/11,663.72
  6. Step 6: Final answer
    x = 7,638.17

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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.