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Finding the Fourth Proportional to 7,881.28, 10,853.76 and 7,857.52

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Solution

The fourth proportional to 7,881.28, 10,853.76 and 7,857.52 is: 10,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.28 : 10,853.76 = 7,857.52 : x
  2. Step 2: Convert to fraction form
    7,881.28/10,853.76 = 7,857.52/x
  3. Step 3: Cross multiply
    7,881.28x = 10,853.76 × 7,857.52
  4. Step 4: Simplify right side
    7,881.28x = 85,283,636.28
  5. Step 5: Solve for x
    x = 85,283,636.28/7,881.28
  6. Step 6: Final answer
    x = 10,821.04

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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.