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Finding the Fourth Proportional to 7,646.68, 10,551.79 and 4,289.04

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Solution

The fourth proportional to 7,646.68, 10,551.79 and 4,289.04 is: 5,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.68 : 10,551.79 = 4,289.04 : x
  2. Step 2: Convert to fraction form
    7,646.68/10,551.79 = 4,289.04/x
  3. Step 3: Cross multiply
    7,646.68x = 10,551.79 × 4,289.04
  4. Step 4: Simplify right side
    7,646.68x = 45,257,049.38
  5. Step 5: Solve for x
    x = 45,257,049.38/7,646.68
  6. Step 6: Final answer
    x = 5,918.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.