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Finding the Fourth Proportional to 10,857.40, 16,281.22 and 3,460.48

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Solution

The fourth proportional to 10,857.40, 16,281.22 and 3,460.48 is: 5,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.40 : 16,281.22 = 3,460.48 : x
  2. Step 2: Convert to fraction form
    10,857.40/16,281.22 = 3,460.48/x
  3. Step 3: Cross multiply
    10,857.40x = 16,281.22 × 3,460.48
  4. Step 4: Simplify right side
    10,857.40x = 56,340,836.19
  5. Step 5: Solve for x
    x = 56,340,836.19/10,857.40
  6. Step 6: Final answer
    x = 5,189.16

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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.