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Finding the Fourth Proportional to 11,566.84, 17,343.54 and 4,538.62

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Solution

The fourth proportional to 11,566.84, 17,343.54 and 4,538.62 is: 6,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.84 : 17,343.54 = 4,538.62 : x
  2. Step 2: Convert to fraction form
    11,566.84/17,343.54 = 4,538.62/x
  3. Step 3: Cross multiply
    11,566.84x = 17,343.54 × 4,538.62
  4. Step 4: Simplify right side
    11,566.84x = 78,715,737.51
  5. Step 5: Solve for x
    x = 78,715,737.51/11,566.84
  6. Step 6: Final answer
    x = 6,805.29

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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.