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Finding the Fourth Proportional to 7,732.02, 11,598.03 and 4,673.46

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Solution

The fourth proportional to 7,732.02, 11,598.03 and 4,673.46 is: 7,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.02 : 11,598.03 = 4,673.46 : x
  2. Step 2: Convert to fraction form
    7,732.02/11,598.03 = 4,673.46/x
  3. Step 3: Cross multiply
    7,732.02x = 11,598.03 × 4,673.46
  4. Step 4: Simplify right side
    7,732.02x = 54,202,929.28
  5. Step 5: Solve for x
    x = 54,202,929.28/7,732.02
  6. Step 6: Final answer
    x = 7,010.19

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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.