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Finding the Fourth Proportional to 7,218.56, 10,842.40 and 4,302.56

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Solution

The fourth proportional to 7,218.56, 10,842.40 and 4,302.56 is: 6,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.56 : 10,842.40 = 4,302.56 : x
  2. Step 2: Convert to fraction form
    7,218.56/10,842.40 = 4,302.56/x
  3. Step 3: Cross multiply
    7,218.56x = 10,842.40 × 4,302.56
  4. Step 4: Simplify right side
    7,218.56x = 46,650,076.54
  5. Step 5: Solve for x
    x = 46,650,076.54/7,218.56
  6. Step 6: Final answer
    x = 6,462.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.