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Finding the Fourth Proportional to 10,829.45, 14,957.97 and 7,840.55

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Solution

The fourth proportional to 10,829.45, 14,957.97 and 7,840.55 is: 10,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.45 : 14,957.97 = 7,840.55 : x
  2. Step 2: Convert to fraction form
    10,829.45/14,957.97 = 7,840.55/x
  3. Step 3: Cross multiply
    10,829.45x = 14,957.97 × 7,840.55
  4. Step 4: Simplify right side
    10,829.45x = 117,278,711.68
  5. Step 5: Solve for x
    x = 117,278,711.68/10,829.45
  6. Step 6: Final answer
    x = 10,829.61

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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.