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Finding the Fourth Proportional to 10,824.32, 16,233.64 and 4,898.90

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Solution

The fourth proportional to 10,824.32, 16,233.64 and 4,898.90 is: 7,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.32 : 16,233.64 = 4,898.90 : x
  2. Step 2: Convert to fraction form
    10,824.32/16,233.64 = 4,898.90/x
  3. Step 3: Cross multiply
    10,824.32x = 16,233.64 × 4,898.90
  4. Step 4: Simplify right side
    10,824.32x = 79,526,979.00
  5. Step 5: Solve for x
    x = 79,526,979.00/10,824.32
  6. Step 6: Final answer
    x = 7,347.06

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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.