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Finding the Fourth Proportional to 11,606.64, 17,389.80 and 6,051.48

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Solution

The fourth proportional to 11,606.64, 17,389.80 and 6,051.48 is: 9,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.64 : 17,389.80 = 6,051.48 : x
  2. Step 2: Convert to fraction form
    11,606.64/17,389.80 = 6,051.48/x
  3. Step 3: Cross multiply
    11,606.64x = 17,389.80 × 6,051.48
  4. Step 4: Simplify right side
    11,606.64x = 105,234,026.90
  5. Step 5: Solve for x
    x = 105,234,026.90/11,606.64
  6. Step 6: Final answer
    x = 9,066.71

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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.