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Finding the Fourth Proportional to 10,594.84, 14,620.62 and 5,879.20

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Solution

The fourth proportional to 10,594.84, 14,620.62 and 5,879.20 is: 8,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.84 : 14,620.62 = 5,879.20 : x
  2. Step 2: Convert to fraction form
    10,594.84/14,620.62 = 5,879.20/x
  3. Step 3: Cross multiply
    10,594.84x = 14,620.62 × 5,879.20
  4. Step 4: Simplify right side
    10,594.84x = 85,957,549.10
  5. Step 5: Solve for x
    x = 85,957,549.10/10,594.84
  6. Step 6: Final answer
    x = 8,113.15

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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.