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Finding the Fourth Proportional to 10,707.49, 14,771.82 and 7,171.84

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Solution

The fourth proportional to 10,707.49, 14,771.82 and 7,171.84 is: 9,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.49 : 14,771.82 = 7,171.84 : x
  2. Step 2: Convert to fraction form
    10,707.49/14,771.82 = 7,171.84/x
  3. Step 3: Cross multiply
    10,707.49x = 14,771.82 × 7,171.84
  4. Step 4: Simplify right side
    10,707.49x = 105,941,134.57
  5. Step 5: Solve for x
    x = 105,941,134.57/10,707.49
  6. Step 6: Final answer
    x = 9,894.11

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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.