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Finding the Fourth Proportional to 7,024.56, 9,689.82 and 4,505.78

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Solution

The fourth proportional to 7,024.56, 9,689.82 and 4,505.78 is: 6,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.56 : 9,689.82 = 4,505.78 : x
  2. Step 2: Convert to fraction form
    7,024.56/9,689.82 = 4,505.78/x
  3. Step 3: Cross multiply
    7,024.56x = 9,689.82 × 4,505.78
  4. Step 4: Simplify right side
    7,024.56x = 43,660,197.16
  5. Step 5: Solve for x
    x = 43,660,197.16/7,024.56
  6. Step 6: Final answer
    x = 6,215.36

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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.