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Finding the Fourth Proportional to 26,733.04, 40,098 and 7,011.60

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Solution

The fourth proportional to 26,733.04, 40,098 and 7,011.60 is: 10,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,733.04 : 40,098 = 7,011.60 : x
  2. Step 2: Convert to fraction form
    26,733.04/40,098 = 7,011.60/x
  3. Step 3: Cross multiply
    26,733.04x = 40,098 × 7,011.60
  4. Step 4: Simplify right side
    26,733.04x = 281,151,136.80
  5. Step 5: Solve for x
    x = 281,151,136.80/26,733.04
  6. Step 6: Final answer
    x = 10,516.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.