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Finding the Fourth Proportional to 8,180.87, 11,288.93 and 4,595.63

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Solution

The fourth proportional to 8,180.87, 11,288.93 and 4,595.63 is: 6,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.87 : 11,288.93 = 4,595.63 : x
  2. Step 2: Convert to fraction form
    8,180.87/11,288.93 = 4,595.63/x
  3. Step 3: Cross multiply
    8,180.87x = 11,288.93 × 4,595.63
  4. Step 4: Simplify right side
    8,180.87x = 51,879,778.81
  5. Step 5: Solve for x
    x = 51,879,778.81/8,180.87
  6. Step 6: Final answer
    x = 6,341.60

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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.