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Finding the Fourth Proportional to 11,357.84, 15,673.64 and 6,322

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Solution

The fourth proportional to 11,357.84, 15,673.64 and 6,322 is: 8,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.84 : 15,673.64 = 6,322 : x
  2. Step 2: Convert to fraction form
    11,357.84/15,673.64 = 6,322/x
  3. Step 3: Cross multiply
    11,357.84x = 15,673.64 × 6,322
  4. Step 4: Simplify right side
    11,357.84x = 99,088,752.08
  5. Step 5: Solve for x
    x = 99,088,752.08/11,357.84
  6. Step 6: Final answer
    x = 8,724.26

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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.