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Finding the Fourth Proportional to 7,650.82, 10,558.24 and 4,507

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Solution

The fourth proportional to 7,650.82, 10,558.24 and 4,507 is: 6,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.82 : 10,558.24 = 4,507 : x
  2. Step 2: Convert to fraction form
    7,650.82/10,558.24 = 4,507/x
  3. Step 3: Cross multiply
    7,650.82x = 10,558.24 × 4,507
  4. Step 4: Simplify right side
    7,650.82x = 47,585,987.68
  5. Step 5: Solve for x
    x = 47,585,987.68/7,650.82
  6. Step 6: Final answer
    x = 6,219.72

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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.