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Finding the Fourth Proportional to 10,669.96, 14,724.72 and 5,890.14

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Solution

The fourth proportional to 10,669.96, 14,724.72 and 5,890.14 is: 8,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.96 : 14,724.72 = 5,890.14 : x
  2. Step 2: Convert to fraction form
    10,669.96/14,724.72 = 5,890.14/x
  3. Step 3: Cross multiply
    10,669.96x = 14,724.72 × 5,890.14
  4. Step 4: Simplify right side
    10,669.96x = 86,730,662.26
  5. Step 5: Solve for x
    x = 86,730,662.26/10,669.96
  6. Step 6: Final answer
    x = 8,128.49

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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.