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Finding the Fourth Proportional to 7,830.53, 10,806.43 and 4,645.50

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Solution

The fourth proportional to 7,830.53, 10,806.43 and 4,645.50 is: 6,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.53 : 10,806.43 = 4,645.50 : x
  2. Step 2: Convert to fraction form
    7,830.53/10,806.43 = 4,645.50/x
  3. Step 3: Cross multiply
    7,830.53x = 10,806.43 × 4,645.50
  4. Step 4: Simplify right side
    7,830.53x = 50,201,214.64
  5. Step 5: Solve for x
    x = 50,201,214.64/7,830.53
  6. Step 6: Final answer
    x = 6,410.96

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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.