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Finding the Fourth Proportional to 11,364.09, 15,678.38 and 6,581.42

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Solution

The fourth proportional to 11,364.09, 15,678.38 and 6,581.42 is: 9,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.09 : 15,678.38 = 6,581.42 : x
  2. Step 2: Convert to fraction form
    11,364.09/15,678.38 = 6,581.42/x
  3. Step 3: Cross multiply
    11,364.09x = 15,678.38 × 6,581.42
  4. Step 4: Simplify right side
    11,364.09x = 103,186,020.15
  5. Step 5: Solve for x
    x = 103,186,020.15/11,364.09
  6. Step 6: Final answer
    x = 9,080.01

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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.