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Finding the Fourth Proportional to 10,968.56, 15,136.56 and 10,076

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Solution

The fourth proportional to 10,968.56, 15,136.56 and 10,076 is: 13,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.56 : 15,136.56 = 10,076 : x
  2. Step 2: Convert to fraction form
    10,968.56/15,136.56 = 10,076/x
  3. Step 3: Cross multiply
    10,968.56x = 15,136.56 × 10,076
  4. Step 4: Simplify right side
    10,968.56x = 152,515,978.56
  5. Step 5: Solve for x
    x = 152,515,978.56/10,968.56
  6. Step 6: Final answer
    x = 13,904.83

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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.