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Finding the Fourth Proportional to 11,012.84, 15,195.44 and 6,535.96

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Solution

The fourth proportional to 11,012.84, 15,195.44 and 6,535.96 is: 9,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.84 : 15,195.44 = 6,535.96 : x
  2. Step 2: Convert to fraction form
    11,012.84/15,195.44 = 6,535.96/x
  3. Step 3: Cross multiply
    11,012.84x = 15,195.44 × 6,535.96
  4. Step 4: Simplify right side
    11,012.84x = 99,316,788.02
  5. Step 5: Solve for x
    x = 99,316,788.02/11,012.84
  6. Step 6: Final answer
    x = 9,018.27

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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.