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Finding the Fourth Proportional to 8,121.75, 12,160.72 and 5,303.60

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Solution

The fourth proportional to 8,121.75, 12,160.72 and 5,303.60 is: 7,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.75 : 12,160.72 = 5,303.60 : x
  2. Step 2: Convert to fraction form
    8,121.75/12,160.72 = 5,303.60/x
  3. Step 3: Cross multiply
    8,121.75x = 12,160.72 × 5,303.60
  4. Step 4: Simplify right side
    8,121.75x = 64,495,631.62
  5. Step 5: Solve for x
    x = 64,495,631.62/8,121.75
  6. Step 6: Final answer
    x = 7,941.10

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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.