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Finding the Fourth Proportional to 10,609.97, 14,641.76 and 5,894.25

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Solution

The fourth proportional to 10,609.97, 14,641.76 and 5,894.25 is: 8,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.97 : 14,641.76 = 5,894.25 : x
  2. Step 2: Convert to fraction form
    10,609.97/14,641.76 = 5,894.25/x
  3. Step 3: Cross multiply
    10,609.97x = 14,641.76 × 5,894.25
  4. Step 4: Simplify right side
    10,609.97x = 86,302,164.41
  5. Step 5: Solve for x
    x = 86,302,164.41/10,609.97
  6. Step 6: Final answer
    x = 8,134.07

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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.