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Finding the Fourth Proportional to 11,232.99, 16,853.85 and 4,657.50

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Solution

The fourth proportional to 11,232.99, 16,853.85 and 4,657.50 is: 6,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.99 : 16,853.85 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    11,232.99/16,853.85 = 4,657.50/x
  3. Step 3: Cross multiply
    11,232.99x = 16,853.85 × 4,657.50
  4. Step 4: Simplify right side
    11,232.99x = 78,496,806.38
  5. Step 5: Solve for x
    x = 78,496,806.38/11,232.99
  6. Step 6: Final answer
    x = 6,988.06

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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.