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Finding the Fourth Proportional to 11,798.24, 16,281.72 and 6,492.98

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Solution

The fourth proportional to 11,798.24, 16,281.72 and 6,492.98 is: 8,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.24 : 16,281.72 = 6,492.98 : x
  2. Step 2: Convert to fraction form
    11,798.24/16,281.72 = 6,492.98/x
  3. Step 3: Cross multiply
    11,798.24x = 16,281.72 × 6,492.98
  4. Step 4: Simplify right side
    11,798.24x = 105,716,882.33
  5. Step 5: Solve for x
    x = 105,716,882.33/11,798.24
  6. Step 6: Final answer
    x = 8,960.39

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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.