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Finding the Fourth Proportional to 7,829.89, 10,778.02 and 6,833.45

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Solution

The fourth proportional to 7,829.89, 10,778.02 and 6,833.45 is: 9,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.89 : 10,778.02 = 6,833.45 : x
  2. Step 2: Convert to fraction form
    7,829.89/10,778.02 = 6,833.45/x
  3. Step 3: Cross multiply
    7,829.89x = 10,778.02 × 6,833.45
  4. Step 4: Simplify right side
    7,829.89x = 73,651,070.63
  5. Step 5: Solve for x
    x = 73,651,070.63/7,829.89
  6. Step 6: Final answer
    x = 9,406.40

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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.