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Finding the Fourth Proportional to 11,295.36, 16,938.84 and 5,746.80

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Solution

The fourth proportional to 11,295.36, 16,938.84 and 5,746.80 is: 8,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.36 : 16,938.84 = 5,746.80 : x
  2. Step 2: Convert to fraction form
    11,295.36/16,938.84 = 5,746.80/x
  3. Step 3: Cross multiply
    11,295.36x = 16,938.84 × 5,746.80
  4. Step 4: Simplify right side
    11,295.36x = 97,344,125.71
  5. Step 5: Solve for x
    x = 97,344,125.71/11,295.36
  6. Step 6: Final answer
    x = 8,618.06

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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.