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Finding the Fourth Proportional to 11,292.60, 16,941.60 and 5,746.80

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Solution

The fourth proportional to 11,292.60, 16,941.60 and 5,746.80 is: 8,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.60 : 16,941.60 = 5,746.80 : x
  2. Step 2: Convert to fraction form
    11,292.60/16,941.60 = 5,746.80/x
  3. Step 3: Cross multiply
    11,292.60x = 16,941.60 × 5,746.80
  4. Step 4: Simplify right side
    11,292.60x = 97,359,986.88
  5. Step 5: Solve for x
    x = 97,359,986.88/11,292.60
  6. Step 6: Final answer
    x = 8,621.57

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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.