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Finding the Fourth Proportional to 4,911.15, 6,777.66 and 4,734.74

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Solution

The fourth proportional to 4,911.15, 6,777.66 and 4,734.74 is: 6,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.15 : 6,777.66 = 4,734.74 : x
  2. Step 2: Convert to fraction form
    4,911.15/6,777.66 = 4,734.74/x
  3. Step 3: Cross multiply
    4,911.15x = 6,777.66 × 4,734.74
  4. Step 4: Simplify right side
    4,911.15x = 32,090,424.02
  5. Step 5: Solve for x
    x = 32,090,424.02/4,911.15
  6. Step 6: Final answer
    x = 6,534.20

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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.