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Finding the Fourth Proportional to 8,581.04, 11,843.52 and 5,435

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Solution

The fourth proportional to 8,581.04, 11,843.52 and 5,435 is: 7,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.04 : 11,843.52 = 5,435 : x
  2. Step 2: Convert to fraction form
    8,581.04/11,843.52 = 5,435/x
  3. Step 3: Cross multiply
    8,581.04x = 11,843.52 × 5,435
  4. Step 4: Simplify right side
    8,581.04x = 64,369,531.20
  5. Step 5: Solve for x
    x = 64,369,531.20/8,581.04
  6. Step 6: Final answer
    x = 7,501.37

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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.