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Finding the Fourth Proportional to 10,806.75, 16,210.13 and 2,598.75

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Solution

The fourth proportional to 10,806.75, 16,210.13 and 2,598.75 is: 3,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 16,210.13 = 2,598.75 : x
  2. Step 2: Convert to fraction form
    10,806.75/16,210.13 = 2,598.75/x
  3. Step 3: Cross multiply
    10,806.75x = 16,210.13 × 2,598.75
  4. Step 4: Simplify right side
    10,806.75x = 42,126,062.34
  5. Step 5: Solve for x
    x = 42,126,062.34/10,806.75
  6. Step 6: Final answer
    x = 3,898.13

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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.