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Finding the Fourth Proportional to 7,851.90, 10,839.75 and 4,866.30

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Solution

The fourth proportional to 7,851.90, 10,839.75 and 4,866.30 is: 6,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.90 : 10,839.75 = 4,866.30 : x
  2. Step 2: Convert to fraction form
    7,851.90/10,839.75 = 4,866.30/x
  3. Step 3: Cross multiply
    7,851.90x = 10,839.75 × 4,866.30
  4. Step 4: Simplify right side
    7,851.90x = 52,749,475.43
  5. Step 5: Solve for x
    x = 52,749,475.43/7,851.90
  6. Step 6: Final answer
    x = 6,718.05

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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.