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Finding the Fourth Proportional to 7,701.60, 11,552.40 and 3,805.20

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Solution

The fourth proportional to 7,701.60, 11,552.40 and 3,805.20 is: 5,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.60 : 11,552.40 = 3,805.20 : x
  2. Step 2: Convert to fraction form
    7,701.60/11,552.40 = 3,805.20/x
  3. Step 3: Cross multiply
    7,701.60x = 11,552.40 × 3,805.20
  4. Step 4: Simplify right side
    7,701.60x = 43,959,192.48
  5. Step 5: Solve for x
    x = 43,959,192.48/7,701.60
  6. Step 6: Final answer
    x = 5,707.80

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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.