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Finding the Fourth Proportional to 10,812.50, 14,922.70 and 6,338.03

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Solution

The fourth proportional to 10,812.50, 14,922.70 and 6,338.03 is: 8,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.50 : 14,922.70 = 6,338.03 : x
  2. Step 2: Convert to fraction form
    10,812.50/14,922.70 = 6,338.03/x
  3. Step 3: Cross multiply
    10,812.50x = 14,922.70 × 6,338.03
  4. Step 4: Simplify right side
    10,812.50x = 94,580,541.74
  5. Step 5: Solve for x
    x = 94,580,541.74/10,812.50
  6. Step 6: Final answer
    x = 8,747.33

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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.