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Finding the Fourth Proportional to 11,505.75, 17,262.68 and 5,666.46

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Solution

The fourth proportional to 11,505.75, 17,262.68 and 5,666.46 is: 8,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.75 : 17,262.68 = 5,666.46 : x
  2. Step 2: Convert to fraction form
    11,505.75/17,262.68 = 5,666.46/x
  3. Step 3: Cross multiply
    11,505.75x = 17,262.68 × 5,666.46
  4. Step 4: Simplify right side
    11,505.75x = 97,818,257.38
  5. Step 5: Solve for x
    x = 97,818,257.38/11,505.75
  6. Step 6: Final answer
    x = 8,501.68

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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.