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Finding the Fourth Proportional to 7,284.50, 10,926.60 and 2,358.20

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Solution

The fourth proportional to 7,284.50, 10,926.60 and 2,358.20 is: 3,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.50 : 10,926.60 = 2,358.20 : x
  2. Step 2: Convert to fraction form
    7,284.50/10,926.60 = 2,358.20/x
  3. Step 3: Cross multiply
    7,284.50x = 10,926.60 × 2,358.20
  4. Step 4: Simplify right side
    7,284.50x = 25,767,108.12
  5. Step 5: Solve for x
    x = 25,767,108.12/7,284.50
  6. Step 6: Final answer
    x = 3,537.25

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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.