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Finding the Fourth Proportional to 7,349.14, 10,141.80 and 4,205.32

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Solution

The fourth proportional to 7,349.14, 10,141.80 and 4,205.32 is: 5,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.14 : 10,141.80 = 4,205.32 : x
  2. Step 2: Convert to fraction form
    7,349.14/10,141.80 = 4,205.32/x
  3. Step 3: Cross multiply
    7,349.14x = 10,141.80 × 4,205.32
  4. Step 4: Simplify right side
    7,349.14x = 42,649,514.38
  5. Step 5: Solve for x
    x = 42,649,514.38/7,349.14
  6. Step 6: Final answer
    x = 5,803.33

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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.