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Finding the Fourth Proportional to 7,495.16, 10,343.36 and 4,138

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Solution

The fourth proportional to 7,495.16, 10,343.36 and 4,138 is: 5,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.16 : 10,343.36 = 4,138 : x
  2. Step 2: Convert to fraction form
    7,495.16/10,343.36 = 4,138/x
  3. Step 3: Cross multiply
    7,495.16x = 10,343.36 × 4,138
  4. Step 4: Simplify right side
    7,495.16x = 42,800,823.68
  5. Step 5: Solve for x
    x = 42,800,823.68/7,495.16
  6. Step 6: Final answer
    x = 5,710.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.