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Finding the Fourth Proportional to 7,041.48, 10,573.14 and 6,729.82

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Solution

The fourth proportional to 7,041.48, 10,573.14 and 6,729.82 is: 10,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.48 : 10,573.14 = 6,729.82 : x
  2. Step 2: Convert to fraction form
    7,041.48/10,573.14 = 6,729.82/x
  3. Step 3: Cross multiply
    7,041.48x = 10,573.14 × 6,729.82
  4. Step 4: Simplify right side
    7,041.48x = 71,155,329.03
  5. Step 5: Solve for x
    x = 71,155,329.03/7,041.48
  6. Step 6: Final answer
    x = 10,105.17

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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.