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Finding the Fourth Proportional to 10,624.50, 14,661.81 and 5,908.68

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Solution

The fourth proportional to 10,624.50, 14,661.81 and 5,908.68 is: 8,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.50 : 14,661.81 = 5,908.68 : x
  2. Step 2: Convert to fraction form
    10,624.50/14,661.81 = 5,908.68/x
  3. Step 3: Cross multiply
    10,624.50x = 14,661.81 × 5,908.68
  4. Step 4: Simplify right side
    10,624.50x = 86,631,943.51
  5. Step 5: Solve for x
    x = 86,631,943.51/10,624.50
  6. Step 6: Final answer
    x = 8,153.98

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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.