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Finding the Fourth Proportional to 10,377.57, 14,321.04 and 5,661.84

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Solution

The fourth proportional to 10,377.57, 14,321.04 and 5,661.84 is: 7,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.57 : 14,321.04 = 5,661.84 : x
  2. Step 2: Convert to fraction form
    10,377.57/14,321.04 = 5,661.84/x
  3. Step 3: Cross multiply
    10,377.57x = 14,321.04 × 5,661.84
  4. Step 4: Simplify right side
    10,377.57x = 81,083,437.11
  5. Step 5: Solve for x
    x = 81,083,437.11/10,377.57
  6. Step 6: Final answer
    x = 7,813.34

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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.