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Finding the Fourth Proportional to 7,595.42, 11,392.32 and 2,048.42

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Solution

The fourth proportional to 7,595.42, 11,392.32 and 2,048.42 is: 3,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.42 : 11,392.32 = 2,048.42 : x
  2. Step 2: Convert to fraction form
    7,595.42/11,392.32 = 2,048.42/x
  3. Step 3: Cross multiply
    7,595.42x = 11,392.32 × 2,048.42
  4. Step 4: Simplify right side
    7,595.42x = 23,336,199.17
  5. Step 5: Solve for x
    x = 23,336,199.17/7,595.42
  6. Step 6: Final answer
    x = 3,072.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.