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Finding the Fourth Proportional to 11,202.48, 15,459.62 and 6,423.21

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Solution

The fourth proportional to 11,202.48, 15,459.62 and 6,423.21 is: 8,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.48 : 15,459.62 = 6,423.21 : x
  2. Step 2: Convert to fraction form
    11,202.48/15,459.62 = 6,423.21/x
  3. Step 3: Cross multiply
    11,202.48x = 15,459.62 × 6,423.21
  4. Step 4: Simplify right side
    11,202.48x = 99,300,322.74
  5. Step 5: Solve for x
    x = 99,300,322.74/11,202.48
  6. Step 6: Final answer
    x = 8,864.13

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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.