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Finding the Fourth Proportional to 7,498.94, 11,253.42 and 3,116.38

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Solution

The fourth proportional to 7,498.94, 11,253.42 and 3,116.38 is: 4,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.94 : 11,253.42 = 3,116.38 : x
  2. Step 2: Convert to fraction form
    7,498.94/11,253.42 = 3,116.38/x
  3. Step 3: Cross multiply
    7,498.94x = 11,253.42 × 3,116.38
  4. Step 4: Simplify right side
    7,498.94x = 35,069,933.02
  5. Step 5: Solve for x
    x = 35,069,933.02/7,498.94
  6. Step 6: Final answer
    x = 4,676.65

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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.