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Finding the Fourth Proportional to 7,243.12, 9,995.34 and 4,258.30

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Solution

The fourth proportional to 7,243.12, 9,995.34 and 4,258.30 is: 5,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.12 : 9,995.34 = 4,258.30 : x
  2. Step 2: Convert to fraction form
    7,243.12/9,995.34 = 4,258.30/x
  3. Step 3: Cross multiply
    7,243.12x = 9,995.34 × 4,258.30
  4. Step 4: Simplify right side
    7,243.12x = 42,563,156.32
  5. Step 5: Solve for x
    x = 42,563,156.32/7,243.12
  6. Step 6: Final answer
    x = 5,876.36

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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.