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Finding the Fourth Proportional to 11,638.34, 17,457.54 and 4,242.79

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Solution

The fourth proportional to 11,638.34, 17,457.54 and 4,242.79 is: 6,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.34 : 17,457.54 = 4,242.79 : x
  2. Step 2: Convert to fraction form
    11,638.34/17,457.54 = 4,242.79/x
  3. Step 3: Cross multiply
    11,638.34x = 17,457.54 × 4,242.79
  4. Step 4: Simplify right side
    11,638.34x = 74,068,607.72
  5. Step 5: Solve for x
    x = 74,068,607.72/11,638.34
  6. Step 6: Final answer
    x = 6,364.19

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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.