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Finding the Fourth Proportional to 7,477.97, 10,320.05 and 4,120.78

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Solution

The fourth proportional to 7,477.97, 10,320.05 and 4,120.78 is: 5,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.97 : 10,320.05 = 4,120.78 : x
  2. Step 2: Convert to fraction form
    7,477.97/10,320.05 = 4,120.78/x
  3. Step 3: Cross multiply
    7,477.97x = 10,320.05 × 4,120.78
  4. Step 4: Simplify right side
    7,477.97x = 42,526,604.04
  5. Step 5: Solve for x
    x = 42,526,604.04/7,477.97
  6. Step 6: Final answer
    x = 5,686.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.