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Finding the Fourth Proportional to 11,638.52, 17,457.36 and 5,064.71

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Solution

The fourth proportional to 11,638.52, 17,457.36 and 5,064.71 is: 7,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.52 : 17,457.36 = 5,064.71 : x
  2. Step 2: Convert to fraction form
    11,638.52/17,457.36 = 5,064.71/x
  3. Step 3: Cross multiply
    11,638.52x = 17,457.36 × 5,064.71
  4. Step 4: Simplify right side
    11,638.52x = 88,416,465.77
  5. Step 5: Solve for x
    x = 88,416,465.77/11,638.52
  6. Step 6: Final answer
    x = 7,596.88

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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.