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Finding the Fourth Proportional to 10,553.84, 15,830.76 and 2,762

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Solution

The fourth proportional to 10,553.84, 15,830.76 and 2,762 is: 4,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.84 : 15,830.76 = 2,762 : x
  2. Step 2: Convert to fraction form
    10,553.84/15,830.76 = 2,762/x
  3. Step 3: Cross multiply
    10,553.84x = 15,830.76 × 2,762
  4. Step 4: Simplify right side
    10,553.84x = 43,724,559.12
  5. Step 5: Solve for x
    x = 43,724,559.12/10,553.84
  6. Step 6: Final answer
    x = 4,143

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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.