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Finding the Fourth Proportional to 7,566.37, 10,441.93 and 6,305.32

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Solution

The fourth proportional to 7,566.37, 10,441.93 and 6,305.32 is: 8,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.37 : 10,441.93 = 6,305.32 : x
  2. Step 2: Convert to fraction form
    7,566.37/10,441.93 = 6,305.32/x
  3. Step 3: Cross multiply
    7,566.37x = 10,441.93 × 6,305.32
  4. Step 4: Simplify right side
    7,566.37x = 65,839,672.27
  5. Step 5: Solve for x
    x = 65,839,672.27/7,566.37
  6. Step 6: Final answer
    x = 8,701.62

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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.