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Finding the Fourth Proportional to 7,144.61, 10,710.43 and 4,060.13

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Solution

The fourth proportional to 7,144.61, 10,710.43 and 4,060.13 is: 6,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.61 : 10,710.43 = 4,060.13 : x
  2. Step 2: Convert to fraction form
    7,144.61/10,710.43 = 4,060.13/x
  3. Step 3: Cross multiply
    7,144.61x = 10,710.43 × 4,060.13
  4. Step 4: Simplify right side
    7,144.61x = 43,485,674.45
  5. Step 5: Solve for x
    x = 43,485,674.45/7,144.61
  6. Step 6: Final answer
    x = 6,086.51

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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.