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Finding the Fourth Proportional to 7,312.61, 10,967.54 and 2,382.44

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Solution

The fourth proportional to 7,312.61, 10,967.54 and 2,382.44 is: 3,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.61 : 10,967.54 = 2,382.44 : x
  2. Step 2: Convert to fraction form
    7,312.61/10,967.54 = 2,382.44/x
  3. Step 3: Cross multiply
    7,312.61x = 10,967.54 × 2,382.44
  4. Step 4: Simplify right side
    7,312.61x = 26,129,439.25
  5. Step 5: Solve for x
    x = 26,129,439.25/7,312.61
  6. Step 6: Final answer
    x = 3,573.20

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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.