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Finding the Fourth Proportional to 7,339.46, 10,098.42 and 6,341.54

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Solution

The fourth proportional to 7,339.46, 10,098.42 and 6,341.54 is: 8,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,339.46 : 10,098.42 = 6,341.54 : x
  2. Step 2: Convert to fraction form
    7,339.46/10,098.42 = 6,341.54/x
  3. Step 3: Cross multiply
    7,339.46x = 10,098.42 × 6,341.54
  4. Step 4: Simplify right side
    7,339.46x = 64,039,534.37
  5. Step 5: Solve for x
    x = 64,039,534.37/7,339.46
  6. Step 6: Final answer
    x = 8,725.37

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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.