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Finding the Fourth Proportional to 7,155.44, 9,865.38 and 4,633.10

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Solution

The fourth proportional to 7,155.44, 9,865.38 and 4,633.10 is: 6,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.44 : 9,865.38 = 4,633.10 : x
  2. Step 2: Convert to fraction form
    7,155.44/9,865.38 = 4,633.10/x
  3. Step 3: Cross multiply
    7,155.44x = 9,865.38 × 4,633.10
  4. Step 4: Simplify right side
    7,155.44x = 45,707,292.08
  5. Step 5: Solve for x
    x = 45,707,292.08/7,155.44
  6. Step 6: Final answer
    x = 6,387.77

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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.