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Finding the Fourth Proportional to 6,136.57, 8,459.53 and 4,878.13

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Solution

The fourth proportional to 6,136.57, 8,459.53 and 4,878.13 is: 6,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.57 : 8,459.53 = 4,878.13 : x
  2. Step 2: Convert to fraction form
    6,136.57/8,459.53 = 4,878.13/x
  3. Step 3: Cross multiply
    6,136.57x = 8,459.53 × 4,878.13
  4. Step 4: Simplify right side
    6,136.57x = 41,266,699.55
  5. Step 5: Solve for x
    x = 41,266,699.55/6,136.57
  6. Step 6: Final answer
    x = 6,724.72

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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.