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Finding the Fourth Proportional to 11,204.16, 15,451.68 and 7,012.80

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Solution

The fourth proportional to 11,204.16, 15,451.68 and 7,012.80 is: 9,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.16 : 15,451.68 = 7,012.80 : x
  2. Step 2: Convert to fraction form
    11,204.16/15,451.68 = 7,012.80/x
  3. Step 3: Cross multiply
    11,204.16x = 15,451.68 × 7,012.80
  4. Step 4: Simplify right side
    11,204.16x = 108,359,541.50
  5. Step 5: Solve for x
    x = 108,359,541.50/11,204.16
  6. Step 6: Final answer
    x = 9,671.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.