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Finding the Fourth Proportional to 7,101.94, 10,653 and 2,719.66

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Solution

The fourth proportional to 7,101.94, 10,653 and 2,719.66 is: 4,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.94 : 10,653 = 2,719.66 : x
  2. Step 2: Convert to fraction form
    7,101.94/10,653 = 2,719.66/x
  3. Step 3: Cross multiply
    7,101.94x = 10,653 × 2,719.66
  4. Step 4: Simplify right side
    7,101.94x = 28,972,537.98
  5. Step 5: Solve for x
    x = 28,972,537.98/7,101.94
  6. Step 6: Final answer
    x = 4,079.52

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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.