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Finding the Fourth Proportional to 10,478.97, 14,461.00 and 5,763.25

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Solution

The fourth proportional to 10,478.97, 14,461.00 and 5,763.25 is: 7,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.97 : 14,461.00 = 5,763.25 : x
  2. Step 2: Convert to fraction form
    10,478.97/14,461.00 = 5,763.25/x
  3. Step 3: Cross multiply
    10,478.97x = 14,461.00 × 5,763.25
  4. Step 4: Simplify right side
    10,478.97x = 83,342,361.92
  5. Step 5: Solve for x
    x = 83,342,361.92/10,478.97
  6. Step 6: Final answer
    x = 7,953.30

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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.