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Finding the Fourth Proportional to 7,767.96, 11,641.14 and 4,800.12

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Solution

The fourth proportional to 7,767.96, 11,641.14 and 4,800.12 is: 7,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.96 : 11,641.14 = 4,800.12 : x
  2. Step 2: Convert to fraction form
    7,767.96/11,641.14 = 4,800.12/x
  3. Step 3: Cross multiply
    7,767.96x = 11,641.14 × 4,800.12
  4. Step 4: Simplify right side
    7,767.96x = 55,878,868.94
  5. Step 5: Solve for x
    x = 55,878,868.94/7,767.96
  6. Step 6: Final answer
    x = 7,193.51

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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.