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Finding the Fourth Proportional to 10,551.84, 15,823.32 and 5,806.80

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Solution

The fourth proportional to 10,551.84, 15,823.32 and 5,806.80 is: 8,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.84 : 15,823.32 = 5,806.80 : x
  2. Step 2: Convert to fraction form
    10,551.84/15,823.32 = 5,806.80/x
  3. Step 3: Cross multiply
    10,551.84x = 15,823.32 × 5,806.80
  4. Step 4: Simplify right side
    10,551.84x = 91,882,854.58
  5. Step 5: Solve for x
    x = 91,882,854.58/10,551.84
  6. Step 6: Final answer
    x = 8,707.76

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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.