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Finding the Fourth Proportional to 10,172.75, 14,038.89 and 5,696.51

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Solution

The fourth proportional to 10,172.75, 14,038.89 and 5,696.51 is: 7,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.75 : 14,038.89 = 5,696.51 : x
  2. Step 2: Convert to fraction form
    10,172.75/14,038.89 = 5,696.51/x
  3. Step 3: Cross multiply
    10,172.75x = 14,038.89 × 5,696.51
  4. Step 4: Simplify right side
    10,172.75x = 79,972,607.08
  5. Step 5: Solve for x
    x = 79,972,607.08/10,172.75
  6. Step 6: Final answer
    x = 7,861.46

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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.