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Finding the Fourth Proportional to 7,757.40, 10,883.40 and 7,757.40

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Solution

The fourth proportional to 7,757.40, 10,883.40 and 7,757.40 is: 10,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.40 : 10,883.40 = 7,757.40 : x
  2. Step 2: Convert to fraction form
    7,757.40/10,883.40 = 7,757.40/x
  3. Step 3: Cross multiply
    7,757.40x = 10,883.40 × 7,757.40
  4. Step 4: Simplify right side
    7,757.40x = 84,426,887.16
  5. Step 5: Solve for x
    x = 84,426,887.16/7,757.40
  6. Step 6: Final answer
    x = 10,883.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.