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Finding the Fourth Proportional to 7,250.20, 10,875.30 and 4,658.20

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Solution

The fourth proportional to 7,250.20, 10,875.30 and 4,658.20 is: 6,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.20 : 10,875.30 = 4,658.20 : x
  2. Step 2: Convert to fraction form
    7,250.20/10,875.30 = 4,658.20/x
  3. Step 3: Cross multiply
    7,250.20x = 10,875.30 × 4,658.20
  4. Step 4: Simplify right side
    7,250.20x = 50,659,322.46
  5. Step 5: Solve for x
    x = 50,659,322.46/7,250.20
  6. Step 6: Final answer
    x = 6,987.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.