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Finding the Fourth Proportional to 10,172.43, 14,038.65 and 5,696.06

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Solution

The fourth proportional to 10,172.43, 14,038.65 and 5,696.06 is: 7,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.43 : 14,038.65 = 5,696.06 : x
  2. Step 2: Convert to fraction form
    10,172.43/14,038.65 = 5,696.06/x
  3. Step 3: Cross multiply
    10,172.43x = 14,038.65 × 5,696.06
  4. Step 4: Simplify right side
    10,172.43x = 79,964,922.53
  5. Step 5: Solve for x
    x = 79,964,922.53/10,172.43
  6. Step 6: Final answer
    x = 7,860.95

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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.