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Finding the Fourth Proportional to 7,029.84, 10,544.50 and 1,764.89

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Solution

The fourth proportional to 7,029.84, 10,544.50 and 1,764.89 is: 2,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.84 : 10,544.50 = 1,764.89 : x
  2. Step 2: Convert to fraction form
    7,029.84/10,544.50 = 1,764.89/x
  3. Step 3: Cross multiply
    7,029.84x = 10,544.50 × 1,764.89
  4. Step 4: Simplify right side
    7,029.84x = 18,609,825.47
  5. Step 5: Solve for x
    x = 18,609,825.47/7,029.84
  6. Step 6: Final answer
    x = 2,647.26

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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.