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Finding the Fourth Proportional to 8,541.68, 11,782.58 and 5,136.32

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Solution

The fourth proportional to 8,541.68, 11,782.58 and 5,136.32 is: 7,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.68 : 11,782.58 = 5,136.32 : x
  2. Step 2: Convert to fraction form
    8,541.68/11,782.58 = 5,136.32/x
  3. Step 3: Cross multiply
    8,541.68x = 11,782.58 × 5,136.32
  4. Step 4: Simplify right side
    8,541.68x = 60,519,165.70
  5. Step 5: Solve for x
    x = 60,519,165.70/8,541.68
  6. Step 6: Final answer
    x = 7,085.16

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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.