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Finding the Fourth Proportional to 7,649.65, 10,555.72 and 4,462.10

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Solution

The fourth proportional to 7,649.65, 10,555.72 and 4,462.10 is: 6,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.65 : 10,555.72 = 4,462.10 : x
  2. Step 2: Convert to fraction form
    7,649.65/10,555.72 = 4,462.10/x
  3. Step 3: Cross multiply
    7,649.65x = 10,555.72 × 4,462.10
  4. Step 4: Simplify right side
    7,649.65x = 47,100,678.96
  5. Step 5: Solve for x
    x = 47,100,678.96/7,649.65
  6. Step 6: Final answer
    x = 6,157.23

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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.