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Finding the Fourth Proportional to 7,865.33, 11,746.24 and 6,828.53

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Solution

The fourth proportional to 7,865.33, 11,746.24 and 6,828.53 is: 10,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.33 : 11,746.24 = 6,828.53 : x
  2. Step 2: Convert to fraction form
    7,865.33/11,746.24 = 6,828.53/x
  3. Step 3: Cross multiply
    7,865.33x = 11,746.24 × 6,828.53
  4. Step 4: Simplify right side
    7,865.33x = 80,209,476.42
  5. Step 5: Solve for x
    x = 80,209,476.42/7,865.33
  6. Step 6: Final answer
    x = 10,197.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.