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Finding the Fourth Proportional to 10,594.24, 14,620.44 and 6,401.68

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Solution

The fourth proportional to 10,594.24, 14,620.44 and 6,401.68 is: 8,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.24 : 14,620.44 = 6,401.68 : x
  2. Step 2: Convert to fraction form
    10,594.24/14,620.44 = 6,401.68/x
  3. Step 3: Cross multiply
    10,594.24x = 14,620.44 × 6,401.68
  4. Step 4: Simplify right side
    10,594.24x = 93,595,378.34
  5. Step 5: Solve for x
    x = 93,595,378.34/10,594.24
  6. Step 6: Final answer
    x = 8,834.55

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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.