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Finding the Fourth Proportional to 7,830.80, 10,806.32 and 4,845.86

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Solution

The fourth proportional to 7,830.80, 10,806.32 and 4,845.86 is: 6,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.80 : 10,806.32 = 4,845.86 : x
  2. Step 2: Convert to fraction form
    7,830.80/10,806.32 = 4,845.86/x
  3. Step 3: Cross multiply
    7,830.80x = 10,806.32 × 4,845.86
  4. Step 4: Simplify right side
    7,830.80x = 52,365,913.84
  5. Step 5: Solve for x
    x = 52,365,913.84/7,830.80
  6. Step 6: Final answer
    x = 6,687.17

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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.