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Finding the Fourth Proportional to 8,646.43, 11,931.72 and 5,289.38

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Solution

The fourth proportional to 8,646.43, 11,931.72 and 5,289.38 is: 7,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.43 : 11,931.72 = 5,289.38 : x
  2. Step 2: Convert to fraction form
    8,646.43/11,931.72 = 5,289.38/x
  3. Step 3: Cross multiply
    8,646.43x = 11,931.72 × 5,289.38
  4. Step 4: Simplify right side
    8,646.43x = 63,111,401.13
  5. Step 5: Solve for x
    x = 63,111,401.13/8,646.43
  6. Step 6: Final answer
    x = 7,299.13

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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.