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Finding the Fourth Proportional to 7,812.48, 10,778.21 and 4,823.13

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Solution

The fourth proportional to 7,812.48, 10,778.21 and 4,823.13 is: 6,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.48 : 10,778.21 = 4,823.13 : x
  2. Step 2: Convert to fraction form
    7,812.48/10,778.21 = 4,823.13/x
  3. Step 3: Cross multiply
    7,812.48x = 10,778.21 × 4,823.13
  4. Step 4: Simplify right side
    7,812.48x = 51,984,683.88
  5. Step 5: Solve for x
    x = 51,984,683.88/7,812.48
  6. Step 6: Final answer
    x = 6,654.06

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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.