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Finding the Fourth Proportional to 6,105.12, 8,430.42 and 4,776.53

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Solution

The fourth proportional to 6,105.12, 8,430.42 and 4,776.53 is: 6,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.12 : 8,430.42 = 4,776.53 : x
  2. Step 2: Convert to fraction form
    6,105.12/8,430.42 = 4,776.53/x
  3. Step 3: Cross multiply
    6,105.12x = 8,430.42 × 4,776.53
  4. Step 4: Simplify right side
    6,105.12x = 40,268,111.89
  5. Step 5: Solve for x
    x = 40,268,111.89/6,105.12
  6. Step 6: Final answer
    x = 6,595.79

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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.