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Finding the Fourth Proportional to 11,312.80, 16,969.20 and 7,813.60

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Solution

The fourth proportional to 11,312.80, 16,969.20 and 7,813.60 is: 11,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.80 : 16,969.20 = 7,813.60 : x
  2. Step 2: Convert to fraction form
    11,312.80/16,969.20 = 7,813.60/x
  3. Step 3: Cross multiply
    11,312.80x = 16,969.20 × 7,813.60
  4. Step 4: Simplify right side
    11,312.80x = 132,590,541.12
  5. Step 5: Solve for x
    x = 132,590,541.12/11,312.80
  6. Step 6: Final answer
    x = 11,720.40

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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.