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Finding the Fourth Proportional to 10,356, 14,291.64 and 5,879.94

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Solution

The fourth proportional to 10,356, 14,291.64 and 5,879.94 is: 8,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 14,291.64 = 5,879.94 : x
  2. Step 2: Convert to fraction form
    10,356/14,291.64 = 5,879.94/x
  3. Step 3: Cross multiply
    10,356x = 14,291.64 × 5,879.94
  4. Step 4: Simplify right side
    10,356x = 84,033,985.70
  5. Step 5: Solve for x
    x = 84,033,985.70/10,356
  6. Step 6: Final answer
    x = 8,114.52

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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.