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Finding the Fourth Proportional to 7,153.97, 10,711.13 and 5,393.63

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Solution

The fourth proportional to 7,153.97, 10,711.13 and 5,393.63 is: 8,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.97 : 10,711.13 = 5,393.63 : x
  2. Step 2: Convert to fraction form
    7,153.97/10,711.13 = 5,393.63/x
  3. Step 3: Cross multiply
    7,153.97x = 10,711.13 × 5,393.63
  4. Step 4: Simplify right side
    7,153.97x = 57,771,871.91
  5. Step 5: Solve for x
    x = 57,771,871.91/7,153.97
  6. Step 6: Final answer
    x = 8,075.50

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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.