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Finding the Fourth Proportional to 10,812.41, 14,898.98 and 7,975.29

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Solution

The fourth proportional to 10,812.41, 14,898.98 and 7,975.29 is: 10,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.41 : 14,898.98 = 7,975.29 : x
  2. Step 2: Convert to fraction form
    10,812.41/14,898.98 = 7,975.29/x
  3. Step 3: Cross multiply
    10,812.41x = 14,898.98 × 7,975.29
  4. Step 4: Simplify right side
    10,812.41x = 118,823,666.27
  5. Step 5: Solve for x
    x = 118,823,666.27/10,812.41
  6. Step 6: Final answer
    x = 10,989.56

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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.