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Finding the Fourth Proportional to 7,673.86, 11,513 and 6,351.45

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Solution

The fourth proportional to 7,673.86, 11,513 and 6,351.45 is: 9,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.86 : 11,513 = 6,351.45 : x
  2. Step 2: Convert to fraction form
    7,673.86/11,513 = 6,351.45/x
  3. Step 3: Cross multiply
    7,673.86x = 11,513 × 6,351.45
  4. Step 4: Simplify right side
    7,673.86x = 73,124,243.85
  5. Step 5: Solve for x
    x = 73,124,243.85/7,673.86
  6. Step 6: Final answer
    x = 9,529.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.