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Finding the Fourth Proportional to 11,032.82, 16,549.22 and 4,459.01

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Solution

The fourth proportional to 11,032.82, 16,549.22 and 4,459.01 is: 6,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.82 : 16,549.22 = 4,459.01 : x
  2. Step 2: Convert to fraction form
    11,032.82/16,549.22 = 4,459.01/x
  3. Step 3: Cross multiply
    11,032.82x = 16,549.22 × 4,459.01
  4. Step 4: Simplify right side
    11,032.82x = 73,793,032.43
  5. Step 5: Solve for x
    x = 73,793,032.43/11,032.82
  6. Step 6: Final answer
    x = 6,688.50

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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.