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Finding the Fourth Proportional to 10,624.84, 14,660.37 and 6,025.63

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Solution

The fourth proportional to 10,624.84, 14,660.37 and 6,025.63 is: 8,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.84 : 14,660.37 = 6,025.63 : x
  2. Step 2: Convert to fraction form
    10,624.84/14,660.37 = 6,025.63/x
  3. Step 3: Cross multiply
    10,624.84x = 14,660.37 × 6,025.63
  4. Step 4: Simplify right side
    10,624.84x = 88,337,965.28
  5. Step 5: Solve for x
    x = 88,337,965.28/10,624.84
  6. Step 6: Final answer
    x = 8,314.29

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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.