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Finding the Fourth Proportional to 7,767.28, 11,597.45 and 7,028.56

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Solution

The fourth proportional to 7,767.28, 11,597.45 and 7,028.56 is: 10,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.28 : 11,597.45 = 7,028.56 : x
  2. Step 2: Convert to fraction form
    7,767.28/11,597.45 = 7,028.56/x
  3. Step 3: Cross multiply
    7,767.28x = 11,597.45 × 7,028.56
  4. Step 4: Simplify right side
    7,767.28x = 81,513,373.17
  5. Step 5: Solve for x
    x = 81,513,373.17/7,767.28
  6. Step 6: Final answer
    x = 10,494.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.