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Finding the Fourth Proportional to 8,211.52, 11,332 and 4,485.60

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Solution

The fourth proportional to 8,211.52, 11,332 and 4,485.60 is: 6,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.52 : 11,332 = 4,485.60 : x
  2. Step 2: Convert to fraction form
    8,211.52/11,332 = 4,485.60/x
  3. Step 3: Cross multiply
    8,211.52x = 11,332 × 4,485.60
  4. Step 4: Simplify right side
    8,211.52x = 50,830,819.20
  5. Step 5: Solve for x
    x = 50,830,819.20/8,211.52
  6. Step 6: Final answer
    x = 6,190.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.