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Finding the Fourth Proportional to 8,402.09, 12,590.28 and 4,230.45

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Solution

The fourth proportional to 8,402.09, 12,590.28 and 4,230.45 is: 6,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.09 : 12,590.28 = 4,230.45 : x
  2. Step 2: Convert to fraction form
    8,402.09/12,590.28 = 4,230.45/x
  3. Step 3: Cross multiply
    8,402.09x = 12,590.28 × 4,230.45
  4. Step 4: Simplify right side
    8,402.09x = 53,262,550.03
  5. Step 5: Solve for x
    x = 53,262,550.03/8,402.09
  6. Step 6: Final answer
    x = 6,339.21

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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.