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Finding the Fourth Proportional to 11,103.02, 16,654.50 and 6,482.78

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Solution

The fourth proportional to 11,103.02, 16,654.50 and 6,482.78 is: 9,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.02 : 16,654.50 = 6,482.78 : x
  2. Step 2: Convert to fraction form
    11,103.02/16,654.50 = 6,482.78/x
  3. Step 3: Cross multiply
    11,103.02x = 16,654.50 × 6,482.78
  4. Step 4: Simplify right side
    11,103.02x = 107,967,459.51
  5. Step 5: Solve for x
    x = 107,967,459.51/11,103.02
  6. Step 6: Final answer
    x = 9,724.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.