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Finding the Fourth Proportional to 7,537.14, 11,305.02 and 5,087.70

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Solution

The fourth proportional to 7,537.14, 11,305.02 and 5,087.70 is: 7,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.14 : 11,305.02 = 5,087.70 : x
  2. Step 2: Convert to fraction form
    7,537.14/11,305.02 = 5,087.70/x
  3. Step 3: Cross multiply
    7,537.14x = 11,305.02 × 5,087.70
  4. Step 4: Simplify right side
    7,537.14x = 57,516,550.25
  5. Step 5: Solve for x
    x = 57,516,550.25/7,537.14
  6. Step 6: Final answer
    x = 7,631.08

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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.