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Finding the Fourth Proportional to 11,811.17, 16,298.06 and 6,774

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Solution

The fourth proportional to 11,811.17, 16,298.06 and 6,774 is: 9,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.17 : 16,298.06 = 6,774 : x
  2. Step 2: Convert to fraction form
    11,811.17/16,298.06 = 6,774/x
  3. Step 3: Cross multiply
    11,811.17x = 16,298.06 × 6,774
  4. Step 4: Simplify right side
    11,811.17x = 110,403,024.57
  5. Step 5: Solve for x
    x = 110,403,024.57/11,811.17
  6. Step 6: Final answer
    x = 9,347.34

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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.