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Finding the Fourth Proportional to 7,267.76, 10,028.30 and 4,282.50

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Solution

The fourth proportional to 7,267.76, 10,028.30 and 4,282.50 is: 5,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.76 : 10,028.30 = 4,282.50 : x
  2. Step 2: Convert to fraction form
    7,267.76/10,028.30 = 4,282.50/x
  3. Step 3: Cross multiply
    7,267.76x = 10,028.30 × 4,282.50
  4. Step 4: Simplify right side
    7,267.76x = 42,946,194.75
  5. Step 5: Solve for x
    x = 42,946,194.75/7,267.76
  6. Step 6: Final answer
    x = 5,909.14

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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.