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Finding the Fourth Proportional to 11,602.64, 16,015.56 and 8,066

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Solution

The fourth proportional to 11,602.64, 16,015.56 and 8,066 is: 11,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.64 : 16,015.56 = 8,066 : x
  2. Step 2: Convert to fraction form
    11,602.64/16,015.56 = 8,066/x
  3. Step 3: Cross multiply
    11,602.64x = 16,015.56 × 8,066
  4. Step 4: Simplify right side
    11,602.64x = 129,181,506.96
  5. Step 5: Solve for x
    x = 129,181,506.96/11,602.64
  6. Step 6: Final answer
    x = 11,133.80

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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.