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Finding the Fourth Proportional to 11,098.42, 16,648.74 and 3,702.92

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Solution

The fourth proportional to 11,098.42, 16,648.74 and 3,702.92 is: 5,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.42 : 16,648.74 = 3,702.92 : x
  2. Step 2: Convert to fraction form
    11,098.42/16,648.74 = 3,702.92/x
  3. Step 3: Cross multiply
    11,098.42x = 16,648.74 × 3,702.92
  4. Step 4: Simplify right side
    11,098.42x = 61,648,869.08
  5. Step 5: Solve for x
    x = 61,648,869.08/11,098.42
  6. Step 6: Final answer
    x = 5,554.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.