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Finding the Fourth Proportional to 11,476.68, 17,215.80 and 4,902.84

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Solution

The fourth proportional to 11,476.68, 17,215.80 and 4,902.84 is: 7,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.68 : 17,215.80 = 4,902.84 : x
  2. Step 2: Convert to fraction form
    11,476.68/17,215.80 = 4,902.84/x
  3. Step 3: Cross multiply
    11,476.68x = 17,215.80 × 4,902.84
  4. Step 4: Simplify right side
    11,476.68x = 84,406,312.87
  5. Step 5: Solve for x
    x = 84,406,312.87/11,476.68
  6. Step 6: Final answer
    x = 7,354.59

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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.