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Finding the Fourth Proportional to 11,670.24, 16,104.96 and 6,702.24

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Solution

The fourth proportional to 11,670.24, 16,104.96 and 6,702.24 is: 9,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.24 : 16,104.96 = 6,702.24 : x
  2. Step 2: Convert to fraction form
    11,670.24/16,104.96 = 6,702.24/x
  3. Step 3: Cross multiply
    11,670.24x = 16,104.96 × 6,702.24
  4. Step 4: Simplify right side
    11,670.24x = 107,939,307.11
  5. Step 5: Solve for x
    x = 107,939,307.11/11,670.24
  6. Step 6: Final answer
    x = 9,249.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.