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Finding the Fourth Proportional to 10,997.34, 15,174.03 and 6,280.71

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Solution

The fourth proportional to 10,997.34, 15,174.03 and 6,280.71 is: 8,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.34 : 15,174.03 = 6,280.71 : x
  2. Step 2: Convert to fraction form
    10,997.34/15,174.03 = 6,280.71/x
  3. Step 3: Cross multiply
    10,997.34x = 15,174.03 × 6,280.71
  4. Step 4: Simplify right side
    10,997.34x = 95,303,681.96
  5. Step 5: Solve for x
    x = 95,303,681.96/10,997.34
  6. Step 6: Final answer
    x = 8,666.07

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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.