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Finding the Fourth Proportional to 10,035.64, 15,052.38 and 3,461.32

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Solution

The fourth proportional to 10,035.64, 15,052.38 and 3,461.32 is: 5,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.64 : 15,052.38 = 3,461.32 : x
  2. Step 2: Convert to fraction form
    10,035.64/15,052.38 = 3,461.32/x
  3. Step 3: Cross multiply
    10,035.64x = 15,052.38 × 3,461.32
  4. Step 4: Simplify right side
    10,035.64x = 52,101,103.94
  5. Step 5: Solve for x
    x = 52,101,103.94/10,035.64
  6. Step 6: Final answer
    x = 5,191.61

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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.