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Finding the Fourth Proportional to 7,362.84, 11,041.92 and 2,431.56

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Solution

The fourth proportional to 7,362.84, 11,041.92 and 2,431.56 is: 3,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.84 : 11,041.92 = 2,431.56 : x
  2. Step 2: Convert to fraction form
    7,362.84/11,041.92 = 2,431.56/x
  3. Step 3: Cross multiply
    7,362.84x = 11,041.92 × 2,431.56
  4. Step 4: Simplify right side
    7,362.84x = 26,849,091.00
  5. Step 5: Solve for x
    x = 26,849,091.00/7,362.84
  6. Step 6: Final answer
    x = 3,646.57

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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.