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Finding the Fourth Proportional to 11,769.99, 16,242.98 and 6,465

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Solution

The fourth proportional to 11,769.99, 16,242.98 and 6,465 is: 8,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.99 : 16,242.98 = 6,465 : x
  2. Step 2: Convert to fraction form
    11,769.99/16,242.98 = 6,465/x
  3. Step 3: Cross multiply
    11,769.99x = 16,242.98 × 6,465
  4. Step 4: Simplify right side
    11,769.99x = 105,010,833.38
  5. Step 5: Solve for x
    x = 105,010,833.38/11,769.99
  6. Step 6: Final answer
    x = 8,921.91

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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.