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Finding the Fourth Proportional to 7,383, 10,188.56 and 4,025.76

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Solution

The fourth proportional to 7,383, 10,188.56 and 4,025.76 is: 5,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 10,188.56 = 4,025.76 : x
  2. Step 2: Convert to fraction form
    7,383/10,188.56 = 4,025.76/x
  3. Step 3: Cross multiply
    7,383x = 10,188.56 × 4,025.76
  4. Step 4: Simplify right side
    7,383x = 41,016,697.31
  5. Step 5: Solve for x
    x = 41,016,697.31/7,383
  6. Step 6: Final answer
    x = 5,555.56

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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.