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Finding the Fourth Proportional to 7,146.44, 10,719.74 and 4,696.68

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Solution

The fourth proportional to 7,146.44, 10,719.74 and 4,696.68 is: 7,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.44 : 10,719.74 = 4,696.68 : x
  2. Step 2: Convert to fraction form
    7,146.44/10,719.74 = 4,696.68/x
  3. Step 3: Cross multiply
    7,146.44x = 10,719.74 × 4,696.68
  4. Step 4: Simplify right side
    7,146.44x = 50,347,188.46
  5. Step 5: Solve for x
    x = 50,347,188.46/7,146.44
  6. Step 6: Final answer
    x = 7,045.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.