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Finding the Fourth Proportional to 7,884.48, 11,830.68 and 5,253.76

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Solution

The fourth proportional to 7,884.48, 11,830.68 and 5,253.76 is: 7,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.48 : 11,830.68 = 5,253.76 : x
  2. Step 2: Convert to fraction form
    7,884.48/11,830.68 = 5,253.76/x
  3. Step 3: Cross multiply
    7,884.48x = 11,830.68 × 5,253.76
  4. Step 4: Simplify right side
    7,884.48x = 62,155,553.36
  5. Step 5: Solve for x
    x = 62,155,553.36/7,884.48
  6. Step 6: Final answer
    x = 7,883.28

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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.