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Finding the Fourth Proportional to 7,732.56, 11,598.76 and 2,802.09

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Solution

The fourth proportional to 7,732.56, 11,598.76 and 2,802.09 is: 4,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.56 : 11,598.76 = 2,802.09 : x
  2. Step 2: Convert to fraction form
    7,732.56/11,598.76 = 2,802.09/x
  3. Step 3: Cross multiply
    7,732.56x = 11,598.76 × 2,802.09
  4. Step 4: Simplify right side
    7,732.56x = 32,500,769.41
  5. Step 5: Solve for x
    x = 32,500,769.41/7,732.56
  6. Step 6: Final answer
    x = 4,203.11

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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.