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Finding the Fourth Proportional to 7,060.86, 9,744.06 and 4,076.12

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Solution

The fourth proportional to 7,060.86, 9,744.06 and 4,076.12 is: 5,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.86 : 9,744.06 = 4,076.12 : x
  2. Step 2: Convert to fraction form
    7,060.86/9,744.06 = 4,076.12/x
  3. Step 3: Cross multiply
    7,060.86x = 9,744.06 × 4,076.12
  4. Step 4: Simplify right side
    7,060.86x = 39,717,909.13
  5. Step 5: Solve for x
    x = 39,717,909.13/7,060.86
  6. Step 6: Final answer
    x = 5,625.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.