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Finding the Fourth Proportional to 10,012.14, 13,815.54 and 5,535.28

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Solution

The fourth proportional to 10,012.14, 13,815.54 and 5,535.28 is: 7,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.14 : 13,815.54 = 5,535.28 : x
  2. Step 2: Convert to fraction form
    10,012.14/13,815.54 = 5,535.28/x
  3. Step 3: Cross multiply
    10,012.14x = 13,815.54 × 5,535.28
  4. Step 4: Simplify right side
    10,012.14x = 76,472,899.52
  5. Step 5: Solve for x
    x = 76,472,899.52/10,012.14
  6. Step 6: Final answer
    x = 7,638.02

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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.