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Finding the Fourth Proportional to 7,592.63, 11,392.58 and 4,129.88

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Solution

The fourth proportional to 7,592.63, 11,392.58 and 4,129.88 is: 6,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.63 : 11,392.58 = 4,129.88 : x
  2. Step 2: Convert to fraction form
    7,592.63/11,392.58 = 4,129.88/x
  3. Step 3: Cross multiply
    7,592.63x = 11,392.58 × 4,129.88
  4. Step 4: Simplify right side
    7,592.63x = 47,049,941.65
  5. Step 5: Solve for x
    x = 47,049,941.65/7,592.63
  6. Step 6: Final answer
    x = 6,196.80

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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.