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Finding the Fourth Proportional to 7,642.34, 10,546.93 and 4,285.37

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Solution

The fourth proportional to 7,642.34, 10,546.93 and 4,285.37 is: 5,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.34 : 10,546.93 = 4,285.37 : x
  2. Step 2: Convert to fraction form
    7,642.34/10,546.93 = 4,285.37/x
  3. Step 3: Cross multiply
    7,642.34x = 10,546.93 × 4,285.37
  4. Step 4: Simplify right side
    7,642.34x = 45,197,529.14
  5. Step 5: Solve for x
    x = 45,197,529.14/7,642.34
  6. Step 6: Final answer
    x = 5,914.10

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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.