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Finding the Fourth Proportional to 10,172.99, 14,038.57 and 5,696.70

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Solution

The fourth proportional to 10,172.99, 14,038.57 and 5,696.70 is: 7,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.99 : 14,038.57 = 5,696.70 : x
  2. Step 2: Convert to fraction form
    10,172.99/14,038.57 = 5,696.70/x
  3. Step 3: Cross multiply
    10,172.99x = 14,038.57 × 5,696.70
  4. Step 4: Simplify right side
    10,172.99x = 79,973,562.60
  5. Step 5: Solve for x
    x = 79,973,562.60/10,172.99
  6. Step 6: Final answer
    x = 7,861.36

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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.