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Finding the Fourth Proportional to 7,827.30, 10,972.80 and 7,827.30

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Solution

The fourth proportional to 7,827.30, 10,972.80 and 7,827.30 is: 10,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.30 : 10,972.80 = 7,827.30 : x
  2. Step 2: Convert to fraction form
    7,827.30/10,972.80 = 7,827.30/x
  3. Step 3: Cross multiply
    7,827.30x = 10,972.80 × 7,827.30
  4. Step 4: Simplify right side
    7,827.30x = 85,887,397.44
  5. Step 5: Solve for x
    x = 85,887,397.44/7,827.30
  6. Step 6: Final answer
    x = 10,972.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.