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Finding the Fourth Proportional to 6,828.76, 10,248 and 5,270.32

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Solution

The fourth proportional to 6,828.76, 10,248 and 5,270.32 is: 7,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.76 : 10,248 = 5,270.32 : x
  2. Step 2: Convert to fraction form
    6,828.76/10,248 = 5,270.32/x
  3. Step 3: Cross multiply
    6,828.76x = 10,248 × 5,270.32
  4. Step 4: Simplify right side
    6,828.76x = 54,010,239.36
  5. Step 5: Solve for x
    x = 54,010,239.36/6,828.76
  6. Step 6: Final answer
    x = 7,909.23

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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.