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Finding the Fourth Proportional to 7,740.94, 10,671.27 and 5,721.38

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Solution

The fourth proportional to 7,740.94, 10,671.27 and 5,721.38 is: 7,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.94 : 10,671.27 = 5,721.38 : x
  2. Step 2: Convert to fraction form
    7,740.94/10,671.27 = 5,721.38/x
  3. Step 3: Cross multiply
    7,740.94x = 10,671.27 × 5,721.38
  4. Step 4: Simplify right side
    7,740.94x = 61,054,432.08
  5. Step 5: Solve for x
    x = 61,054,432.08/7,740.94
  6. Step 6: Final answer
    x = 7,887.21

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Why These Related Problems?

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