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Finding the Fourth Proportional to 11,290.77, 16,946.66 and 5,748.26

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Solution

The fourth proportional to 11,290.77, 16,946.66 and 5,748.26 is: 8,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.77 : 16,946.66 = 5,748.26 : x
  2. Step 2: Convert to fraction form
    11,290.77/16,946.66 = 5,748.26/x
  3. Step 3: Cross multiply
    11,290.77x = 16,946.66 × 5,748.26
  4. Step 4: Simplify right side
    11,290.77x = 97,413,807.81
  5. Step 5: Solve for x
    x = 97,413,807.81/11,290.77
  6. Step 6: Final answer
    x = 8,627.74

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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.