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Finding the Fourth Proportional to 10,977.40, 16,466.10 and 7,040.80

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Solution

The fourth proportional to 10,977.40, 16,466.10 and 7,040.80 is: 10,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.40 : 16,466.10 = 7,040.80 : x
  2. Step 2: Convert to fraction form
    10,977.40/16,466.10 = 7,040.80/x
  3. Step 3: Cross multiply
    10,977.40x = 16,466.10 × 7,040.80
  4. Step 4: Simplify right side
    10,977.40x = 115,934,516.88
  5. Step 5: Solve for x
    x = 115,934,516.88/10,977.40
  6. Step 6: Final answer
    x = 10,561.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.