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Finding the Fourth Proportional to 7,605.84, 11,382.80 and 6,374.64

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Solution

The fourth proportional to 7,605.84, 11,382.80 and 6,374.64 is: 9,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.84 : 11,382.80 = 6,374.64 : x
  2. Step 2: Convert to fraction form
    7,605.84/11,382.80 = 6,374.64/x
  3. Step 3: Cross multiply
    7,605.84x = 11,382.80 × 6,374.64
  4. Step 4: Simplify right side
    7,605.84x = 72,561,252.19
  5. Step 5: Solve for x
    x = 72,561,252.19/7,605.84
  6. Step 6: Final answer
    x = 9,540.20

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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.