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Finding the Fourth Proportional to 7,457.34, 11,186.19 and 1,910.82

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Solution

The fourth proportional to 7,457.34, 11,186.19 and 1,910.82 is: 2,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.34 : 11,186.19 = 1,910.82 : x
  2. Step 2: Convert to fraction form
    7,457.34/11,186.19 = 1,910.82/x
  3. Step 3: Cross multiply
    7,457.34x = 11,186.19 × 1,910.82
  4. Step 4: Simplify right side
    7,457.34x = 21,374,795.58
  5. Step 5: Solve for x
    x = 21,374,795.58/7,457.34
  6. Step 6: Final answer
    x = 2,866.28

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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.