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Finding the Fourth Proportional to 7,267.76, 10,029.07 and 4,242.52

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Solution

The fourth proportional to 7,267.76, 10,029.07 and 4,242.52 is: 5,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.76 : 10,029.07 = 4,242.52 : x
  2. Step 2: Convert to fraction form
    7,267.76/10,029.07 = 4,242.52/x
  3. Step 3: Cross multiply
    7,267.76x = 10,029.07 × 4,242.52
  4. Step 4: Simplify right side
    7,267.76x = 42,548,530.06
  5. Step 5: Solve for x
    x = 42,548,530.06/7,267.76
  6. Step 6: Final answer
    x = 5,854.42

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