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Finding the Fourth Proportional to 7,267.50, 10,030.97 and 4,282.25

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Solution

The fourth proportional to 7,267.50, 10,030.97 and 4,282.25 is: 5,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.50 : 10,030.97 = 4,282.25 : x
  2. Step 2: Convert to fraction form
    7,267.50/10,030.97 = 4,282.25/x
  3. Step 3: Cross multiply
    7,267.50x = 10,030.97 × 4,282.25
  4. Step 4: Simplify right side
    7,267.50x = 42,955,081.83
  5. Step 5: Solve for x
    x = 42,955,081.83/7,267.50
  6. Step 6: Final answer
    x = 5,910.57

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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.