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Finding the Fourth Proportional to 10,622.80, 15,938.48 and 4,782.16

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Solution

The fourth proportional to 10,622.80, 15,938.48 and 4,782.16 is: 7,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.80 : 15,938.48 = 4,782.16 : x
  2. Step 2: Convert to fraction form
    10,622.80/15,938.48 = 4,782.16/x
  3. Step 3: Cross multiply
    10,622.80x = 15,938.48 × 4,782.16
  4. Step 4: Simplify right side
    10,622.80x = 76,220,361.52
  5. Step 5: Solve for x
    x = 76,220,361.52/10,622.80
  6. Step 6: Final answer
    x = 7,175.17

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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.