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Finding the Fourth Proportional to 7,646.34, 10,552.46 and 4,289.38

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Solution

The fourth proportional to 7,646.34, 10,552.46 and 4,289.38 is: 5,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.34 : 10,552.46 = 4,289.38 : x
  2. Step 2: Convert to fraction form
    7,646.34/10,552.46 = 4,289.38/x
  3. Step 3: Cross multiply
    7,646.34x = 10,552.46 × 4,289.38
  4. Step 4: Simplify right side
    7,646.34x = 45,263,510.87
  5. Step 5: Solve for x
    x = 45,263,510.87/7,646.34
  6. Step 6: Final answer
    x = 5,919.63

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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.