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Finding the Fourth Proportional to 10,594.77, 14,621 and 5,879.35

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Solution

The fourth proportional to 10,594.77, 14,621 and 5,879.35 is: 8,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.77 : 14,621 = 5,879.35 : x
  2. Step 2: Convert to fraction form
    10,594.77/14,621 = 5,879.35/x
  3. Step 3: Cross multiply
    10,594.77x = 14,621 × 5,879.35
  4. Step 4: Simplify right side
    10,594.77x = 85,961,976.35
  5. Step 5: Solve for x
    x = 85,961,976.35/10,594.77
  6. Step 6: Final answer
    x = 8,113.62

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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.