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Finding the Fourth Proportional to 8,386.30, 12,578.64 and 2,230.30

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Solution

The fourth proportional to 8,386.30, 12,578.64 and 2,230.30 is: 3,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.30 : 12,578.64 = 2,230.30 : x
  2. Step 2: Convert to fraction form
    8,386.30/12,578.64 = 2,230.30/x
  3. Step 3: Cross multiply
    8,386.30x = 12,578.64 × 2,230.30
  4. Step 4: Simplify right side
    8,386.30x = 28,054,140.79
  5. Step 5: Solve for x
    x = 28,054,140.79/8,386.30
  6. Step 6: Final answer
    x = 3,345.23

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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.