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Finding the Fourth Proportional to 7,415.52, 10,228.32 and 5,290.80

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Solution

The fourth proportional to 7,415.52, 10,228.32 and 5,290.80 is: 7,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.52 : 10,228.32 = 5,290.80 : x
  2. Step 2: Convert to fraction form
    7,415.52/10,228.32 = 5,290.80/x
  3. Step 3: Cross multiply
    7,415.52x = 10,228.32 × 5,290.80
  4. Step 4: Simplify right side
    7,415.52x = 54,115,995.46
  5. Step 5: Solve for x
    x = 54,115,995.46/7,415.52
  6. Step 6: Final answer
    x = 7,297.67

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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.