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Finding the Fourth Proportional to 7,731.92, 10,681.64 and 5,382.16

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Solution

The fourth proportional to 7,731.92, 10,681.64 and 5,382.16 is: 7,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.92 : 10,681.64 = 5,382.16 : x
  2. Step 2: Convert to fraction form
    7,731.92/10,681.64 = 5,382.16/x
  3. Step 3: Cross multiply
    7,731.92x = 10,681.64 × 5,382.16
  4. Step 4: Simplify right side
    7,731.92x = 57,490,295.54
  5. Step 5: Solve for x
    x = 57,490,295.54/7,731.92
  6. Step 6: Final answer
    x = 7,435.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.