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Finding the Fourth Proportional to 7,829.42, 10,805.10 and 5,172.17

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Solution

The fourth proportional to 7,829.42, 10,805.10 and 5,172.17 is: 7,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.42 : 10,805.10 = 5,172.17 : x
  2. Step 2: Convert to fraction form
    7,829.42/10,805.10 = 5,172.17/x
  3. Step 3: Cross multiply
    7,829.42x = 10,805.10 × 5,172.17
  4. Step 4: Simplify right side
    7,829.42x = 55,885,814.07
  5. Step 5: Solve for x
    x = 55,885,814.07/7,829.42
  6. Step 6: Final answer
    x = 7,137.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.