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Finding the Fourth Proportional to 10,355.51, 14,290.97 and 5,879.12

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Solution

The fourth proportional to 10,355.51, 14,290.97 and 5,879.12 is: 8,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.51 : 14,290.97 = 5,879.12 : x
  2. Step 2: Convert to fraction form
    10,355.51/14,290.97 = 5,879.12/x
  3. Step 3: Cross multiply
    10,355.51x = 14,290.97 × 5,879.12
  4. Step 4: Simplify right side
    10,355.51x = 84,018,226.70
  5. Step 5: Solve for x
    x = 84,018,226.70/10,355.51
  6. Step 6: Final answer
    x = 8,113.38

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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.