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Finding the Fourth Proportional to 10,283.87, 14,178.02 and 7,720.78

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Solution

The fourth proportional to 10,283.87, 14,178.02 and 7,720.78 is: 10,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.87 : 14,178.02 = 7,720.78 : x
  2. Step 2: Convert to fraction form
    10,283.87/14,178.02 = 7,720.78/x
  3. Step 3: Cross multiply
    10,283.87x = 14,178.02 × 7,720.78
  4. Step 4: Simplify right side
    10,283.87x = 109,465,373.26
  5. Step 5: Solve for x
    x = 109,465,373.26/10,283.87
  6. Step 6: Final answer
    x = 10,644.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.