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Finding the Fourth Proportional to 10,594.53, 14,620.44 and 5,814.51

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Solution

The fourth proportional to 10,594.53, 14,620.44 and 5,814.51 is: 8,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.53 : 14,620.44 = 5,814.51 : x
  2. Step 2: Convert to fraction form
    10,594.53/14,620.44 = 5,814.51/x
  3. Step 3: Cross multiply
    10,594.53x = 14,620.44 × 5,814.51
  4. Step 4: Simplify right side
    10,594.53x = 85,010,694.58
  5. Step 5: Solve for x
    x = 85,010,694.58/10,594.53
  6. Step 6: Final answer
    x = 8,024.02

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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.