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Finding the Fourth Proportional to 11,638.56, 17,460.96 and 4,709.28

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Solution

The fourth proportional to 11,638.56, 17,460.96 and 4,709.28 is: 7,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.56 : 17,460.96 = 4,709.28 : x
  2. Step 2: Convert to fraction form
    11,638.56/17,460.96 = 4,709.28/x
  3. Step 3: Cross multiply
    11,638.56x = 17,460.96 × 4,709.28
  4. Step 4: Simplify right side
    11,638.56x = 82,228,549.71
  5. Step 5: Solve for x
    x = 82,228,549.71/11,638.56
  6. Step 6: Final answer
    x = 7,065.18

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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.