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Finding the Fourth Proportional to 7,974.80, 11,005.14 and 4,389.64

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Solution

The fourth proportional to 7,974.80, 11,005.14 and 4,389.64 is: 6,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.80 : 11,005.14 = 4,389.64 : x
  2. Step 2: Convert to fraction form
    7,974.80/11,005.14 = 4,389.64/x
  3. Step 3: Cross multiply
    7,974.80x = 11,005.14 × 4,389.64
  4. Step 4: Simplify right side
    7,974.80x = 48,308,602.75
  5. Step 5: Solve for x
    x = 48,308,602.75/7,974.80
  6. Step 6: Final answer
    x = 6,057.66

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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.