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Finding the Fourth Proportional to 11,202.63, 15,459.81 and 6,423

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Solution

The fourth proportional to 11,202.63, 15,459.81 and 6,423 is: 8,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.63 : 15,459.81 = 6,423 : x
  2. Step 2: Convert to fraction form
    11,202.63/15,459.81 = 6,423/x
  3. Step 3: Cross multiply
    11,202.63x = 15,459.81 × 6,423
  4. Step 4: Simplify right side
    11,202.63x = 99,298,359.63
  5. Step 5: Solve for x
    x = 99,298,359.63/11,202.63
  6. Step 6: Final answer
    x = 8,863.84

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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.