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Finding the Fourth Proportional to 7,310.94, 10,089.28 and 4,167.06

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Solution

The fourth proportional to 7,310.94, 10,089.28 and 4,167.06 is: 5,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.94 : 10,089.28 = 4,167.06 : x
  2. Step 2: Convert to fraction form
    7,310.94/10,089.28 = 4,167.06/x
  3. Step 3: Cross multiply
    7,310.94x = 10,089.28 × 4,167.06
  4. Step 4: Simplify right side
    7,310.94x = 42,042,635.12
  5. Step 5: Solve for x
    x = 42,042,635.12/7,310.94
  6. Step 6: Final answer
    x = 5,750.65

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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.