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Finding the Fourth Proportional to 6,410.76, 8,833.71 and 4,729.49

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Solution

The fourth proportional to 6,410.76, 8,833.71 and 4,729.49 is: 6,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.76 : 8,833.71 = 4,729.49 : x
  2. Step 2: Convert to fraction form
    6,410.76/8,833.71 = 4,729.49/x
  3. Step 3: Cross multiply
    6,410.76x = 8,833.71 × 4,729.49
  4. Step 4: Simplify right side
    6,410.76x = 41,778,943.11
  5. Step 5: Solve for x
    x = 41,778,943.11/6,410.76
  6. Step 6: Final answer
    x = 6,517.00

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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.