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Finding the Fourth Proportional to 10,632.21, 14,673.14 and 5,916.49

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Solution

The fourth proportional to 10,632.21, 14,673.14 and 5,916.49 is: 8,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.21 : 14,673.14 = 5,916.49 : x
  2. Step 2: Convert to fraction form
    10,632.21/14,673.14 = 5,916.49/x
  3. Step 3: Cross multiply
    10,632.21x = 14,673.14 × 5,916.49
  4. Step 4: Simplify right side
    10,632.21x = 86,813,486.08
  5. Step 5: Solve for x
    x = 86,813,486.08/10,632.21
  6. Step 6: Final answer
    x = 8,165.14

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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.