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Finding the Fourth Proportional to 11,357.40, 15,673.06 and 6,321.84

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Solution

The fourth proportional to 11,357.40, 15,673.06 and 6,321.84 is: 8,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.40 : 15,673.06 = 6,321.84 : x
  2. Step 2: Convert to fraction form
    11,357.40/15,673.06 = 6,321.84/x
  3. Step 3: Cross multiply
    11,357.40x = 15,673.06 × 6,321.84
  4. Step 4: Simplify right side
    11,357.40x = 99,082,577.63
  5. Step 5: Solve for x
    x = 99,082,577.63/11,357.40
  6. Step 6: Final answer
    x = 8,724.05

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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.