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Finding the Fourth Proportional to 7,776.38, 10,730.32 and 4,589.81

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Solution

The fourth proportional to 7,776.38, 10,730.32 and 4,589.81 is: 6,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.38 : 10,730.32 = 4,589.81 : x
  2. Step 2: Convert to fraction form
    7,776.38/10,730.32 = 4,589.81/x
  3. Step 3: Cross multiply
    7,776.38x = 10,730.32 × 4,589.81
  4. Step 4: Simplify right side
    7,776.38x = 49,250,130.04
  5. Step 5: Solve for x
    x = 49,250,130.04/7,776.38
  6. Step 6: Final answer
    x = 6,333.30

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Why These Related Problems?

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