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Finding the Fourth Proportional to 11,911.32, 16,437.96 and 6,534

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Solution

The fourth proportional to 11,911.32, 16,437.96 and 6,534 is: 9,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.32 : 16,437.96 = 6,534 : x
  2. Step 2: Convert to fraction form
    11,911.32/16,437.96 = 6,534/x
  3. Step 3: Cross multiply
    11,911.32x = 16,437.96 × 6,534
  4. Step 4: Simplify right side
    11,911.32x = 107,405,630.64
  5. Step 5: Solve for x
    x = 107,405,630.64/11,911.32
  6. Step 6: Final answer
    x = 9,017.11

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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.