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Finding the Fourth Proportional to 10,652.49, 15,979.46 and 7,765.29

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Solution

The fourth proportional to 10,652.49, 15,979.46 and 7,765.29 is: 11,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.49 : 15,979.46 = 7,765.29 : x
  2. Step 2: Convert to fraction form
    10,652.49/15,979.46 = 7,765.29/x
  3. Step 3: Cross multiply
    10,652.49x = 15,979.46 × 7,765.29
  4. Step 4: Simplify right side
    10,652.49x = 124,085,102.12
  5. Step 5: Solve for x
    x = 124,085,102.12/10,652.49
  6. Step 6: Final answer
    x = 11,648.46

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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.