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Finding the Fourth Proportional to 6,852.15, 10,277.94 and 4,766.13

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Solution

The fourth proportional to 6,852.15, 10,277.94 and 4,766.13 is: 7,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.15 : 10,277.94 = 4,766.13 : x
  2. Step 2: Convert to fraction form
    6,852.15/10,277.94 = 4,766.13/x
  3. Step 3: Cross multiply
    6,852.15x = 10,277.94 × 4,766.13
  4. Step 4: Simplify right side
    6,852.15x = 48,985,998.17
  5. Step 5: Solve for x
    x = 48,985,998.17/6,852.15
  6. Step 6: Final answer
    x = 7,149.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.