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Finding the Fourth Proportional to 7,137.46, 9,851.68 and 4,153.88

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Solution

The fourth proportional to 7,137.46, 9,851.68 and 4,153.88 is: 5,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.46 : 9,851.68 = 4,153.88 : x
  2. Step 2: Convert to fraction form
    7,137.46/9,851.68 = 4,153.88/x
  3. Step 3: Cross multiply
    7,137.46x = 9,851.68 × 4,153.88
  4. Step 4: Simplify right side
    7,137.46x = 40,922,696.52
  5. Step 5: Solve for x
    x = 40,922,696.52/7,137.46
  6. Step 6: Final answer
    x = 5,733.51

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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.