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Finding the Fourth Proportional to 7,772.05, 11,661.52 and 4,073.40

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Solution

The fourth proportional to 7,772.05, 11,661.52 and 4,073.40 is: 6,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.05 : 11,661.52 = 4,073.40 : x
  2. Step 2: Convert to fraction form
    7,772.05/11,661.52 = 4,073.40/x
  3. Step 3: Cross multiply
    7,772.05x = 11,661.52 × 4,073.40
  4. Step 4: Simplify right side
    7,772.05x = 47,502,035.57
  5. Step 5: Solve for x
    x = 47,502,035.57/7,772.05
  6. Step 6: Final answer
    x = 6,111.91

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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.