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Finding the Fourth Proportional to 7,582.56, 10,463.84 and 4,225.38

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Solution

The fourth proportional to 7,582.56, 10,463.84 and 4,225.38 is: 5,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.56 : 10,463.84 = 4,225.38 : x
  2. Step 2: Convert to fraction form
    7,582.56/10,463.84 = 4,225.38/x
  3. Step 3: Cross multiply
    7,582.56x = 10,463.84 × 4,225.38
  4. Step 4: Simplify right side
    7,582.56x = 44,213,700.26
  5. Step 5: Solve for x
    x = 44,213,700.26/7,582.56
  6. Step 6: Final answer
    x = 5,830.97

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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.