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Finding the Fourth Proportional to 10,594.71, 14,620.71 and 5,814.72

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Solution

The fourth proportional to 10,594.71, 14,620.71 and 5,814.72 is: 8,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.71 : 14,620.71 = 5,814.72 : x
  2. Step 2: Convert to fraction form
    10,594.71/14,620.71 = 5,814.72/x
  3. Step 3: Cross multiply
    10,594.71x = 14,620.71 × 5,814.72
  4. Step 4: Simplify right side
    10,594.71x = 85,015,334.85
  5. Step 5: Solve for x
    x = 85,015,334.85/10,594.71
  6. Step 6: Final answer
    x = 8,024.32

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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.