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Finding the Fourth Proportional to 11,896.23, 17,830.17 and 4,875.96

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Solution

The fourth proportional to 11,896.23, 17,830.17 and 4,875.96 is: 7,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.23 : 17,830.17 = 4,875.96 : x
  2. Step 2: Convert to fraction form
    11,896.23/17,830.17 = 4,875.96/x
  3. Step 3: Cross multiply
    11,896.23x = 17,830.17 × 4,875.96
  4. Step 4: Simplify right side
    11,896.23x = 86,939,195.71
  5. Step 5: Solve for x
    x = 86,939,195.71/11,896.23
  6. Step 6: Final answer
    x = 7,308.13

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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.