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Finding the Fourth Proportional to 7,805.14, 11,690.04 and 6,037.72

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Solution

The fourth proportional to 7,805.14, 11,690.04 and 6,037.72 is: 9,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.14 : 11,690.04 = 6,037.72 : x
  2. Step 2: Convert to fraction form
    7,805.14/11,690.04 = 6,037.72/x
  3. Step 3: Cross multiply
    7,805.14x = 11,690.04 × 6,037.72
  4. Step 4: Simplify right side
    7,805.14x = 70,581,188.31
  5. Step 5: Solve for x
    x = 70,581,188.31/7,805.14
  6. Step 6: Final answer
    x = 9,042.91

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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.