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Finding the Fourth Proportional to 10,410.30, 15,607.82 and 3,836.60

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Solution

The fourth proportional to 10,410.30, 15,607.82 and 3,836.60 is: 5,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.30 : 15,607.82 = 3,836.60 : x
  2. Step 2: Convert to fraction form
    10,410.30/15,607.82 = 3,836.60/x
  3. Step 3: Cross multiply
    10,410.30x = 15,607.82 × 3,836.60
  4. Step 4: Simplify right side
    10,410.30x = 59,880,962.21
  5. Step 5: Solve for x
    x = 59,880,962.21/10,410.30
  6. Step 6: Final answer
    x = 5,752.09

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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.