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Finding the Fourth Proportional to 7,776.10, 10,729.94 and 4,589.53

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Solution

The fourth proportional to 7,776.10, 10,729.94 and 4,589.53 is: 6,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.10 : 10,729.94 = 4,589.53 : x
  2. Step 2: Convert to fraction form
    7,776.10/10,729.94 = 4,589.53/x
  3. Step 3: Cross multiply
    7,776.10x = 10,729.94 × 4,589.53
  4. Step 4: Simplify right side
    7,776.10x = 49,245,304.93
  5. Step 5: Solve for x
    x = 49,245,304.93/7,776.10
  6. Step 6: Final answer
    x = 6,332.91

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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.