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Finding the Fourth Proportional to 7,674.88, 11,513.76 and 5,312.92

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Solution

The fourth proportional to 7,674.88, 11,513.76 and 5,312.92 is: 7,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.88 : 11,513.76 = 5,312.92 : x
  2. Step 2: Convert to fraction form
    7,674.88/11,513.76 = 5,312.92/x
  3. Step 3: Cross multiply
    7,674.88x = 11,513.76 × 5,312.92
  4. Step 4: Simplify right side
    7,674.88x = 61,171,685.78
  5. Step 5: Solve for x
    x = 61,171,685.78/7,674.88
  6. Step 6: Final answer
    x = 7,970.38

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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.