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Finding the Fourth Proportional to 10,733.76, 16,094.16 and 4,809.60

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Solution

The fourth proportional to 10,733.76, 16,094.16 and 4,809.60 is: 7,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.76 : 16,094.16 = 4,809.60 : x
  2. Step 2: Convert to fraction form
    10,733.76/16,094.16 = 4,809.60/x
  3. Step 3: Cross multiply
    10,733.76x = 16,094.16 × 4,809.60
  4. Step 4: Simplify right side
    10,733.76x = 77,406,471.94
  5. Step 5: Solve for x
    x = 77,406,471.94/10,733.76
  6. Step 6: Final answer
    x = 7,211.50

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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.