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Finding the Fourth Proportional to 11,807.98, 16,291.34 and 6,702.66

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Solution

The fourth proportional to 11,807.98, 16,291.34 and 6,702.66 is: 9,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.98 : 16,291.34 = 6,702.66 : x
  2. Step 2: Convert to fraction form
    11,807.98/16,291.34 = 6,702.66/x
  3. Step 3: Cross multiply
    11,807.98x = 16,291.34 × 6,702.66
  4. Step 4: Simplify right side
    11,807.98x = 109,195,312.96
  5. Step 5: Solve for x
    x = 109,195,312.96/11,807.98
  6. Step 6: Final answer
    x = 9,247.59

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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.