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Finding the Fourth Proportional to 10,707.80, 14,778.65 and 7,171.54

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Solution

The fourth proportional to 10,707.80, 14,778.65 and 7,171.54 is: 9,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 14,778.65 = 7,171.54 : x
  2. Step 2: Convert to fraction form
    10,707.80/14,778.65 = 7,171.54/x
  3. Step 3: Cross multiply
    10,707.80x = 14,778.65 × 7,171.54
  4. Step 4: Simplify right side
    10,707.80x = 105,985,660.60
  5. Step 5: Solve for x
    x = 105,985,660.60/10,707.80
  6. Step 6: Final answer
    x = 9,897.99

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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.