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Finding the Fourth Proportional to 10,771.74, 16,078.67 and 9,980.19

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Solution

The fourth proportional to 10,771.74, 16,078.67 and 9,980.19 is: 14,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.74 : 16,078.67 = 9,980.19 : x
  2. Step 2: Convert to fraction form
    10,771.74/16,078.67 = 9,980.19/x
  3. Step 3: Cross multiply
    10,771.74x = 16,078.67 × 9,980.19
  4. Step 4: Simplify right side
    10,771.74x = 160,468,191.94
  5. Step 5: Solve for x
    x = 160,468,191.94/10,771.74
  6. Step 6: Final answer
    x = 14,897.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.