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Finding the Fourth Proportional to 11,656.66, 17,475.19 and 5,077.89

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Solution

The fourth proportional to 11,656.66, 17,475.19 and 5,077.89 is: 7,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.66 : 17,475.19 = 5,077.89 : x
  2. Step 2: Convert to fraction form
    11,656.66/17,475.19 = 5,077.89/x
  3. Step 3: Cross multiply
    11,656.66x = 17,475.19 × 5,077.89
  4. Step 4: Simplify right side
    11,656.66x = 88,737,108.42
  5. Step 5: Solve for x
    x = 88,737,108.42/11,656.66
  6. Step 6: Final answer
    x = 7,612.57

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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.