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Finding the Fourth Proportional to 11,098.40, 16,649.68 and 3,702.16

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Solution

The fourth proportional to 11,098.40, 16,649.68 and 3,702.16 is: 5,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.40 : 16,649.68 = 3,702.16 : x
  2. Step 2: Convert to fraction form
    11,098.40/16,649.68 = 3,702.16/x
  3. Step 3: Cross multiply
    11,098.40x = 16,649.68 × 3,702.16
  4. Step 4: Simplify right side
    11,098.40x = 61,639,779.31
  5. Step 5: Solve for x
    x = 61,639,779.31/11,098.40
  6. Step 6: Final answer
    x = 5,553.93

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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.