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Finding the Fourth Proportional to 7,382.68, 11,047.92 and 4,607.08

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Solution

The fourth proportional to 7,382.68, 11,047.92 and 4,607.08 is: 6,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.68 : 11,047.92 = 4,607.08 : x
  2. Step 2: Convert to fraction form
    7,382.68/11,047.92 = 4,607.08/x
  3. Step 3: Cross multiply
    7,382.68x = 11,047.92 × 4,607.08
  4. Step 4: Simplify right side
    7,382.68x = 50,898,651.27
  5. Step 5: Solve for x
    x = 50,898,651.27/7,382.68
  6. Step 6: Final answer
    x = 6,894.33

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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.