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Finding the Fourth Proportional to 7,592.78, 11,378.16 and 4,080.02

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Solution

The fourth proportional to 7,592.78, 11,378.16 and 4,080.02 is: 6,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.78 : 11,378.16 = 4,080.02 : x
  2. Step 2: Convert to fraction form
    7,592.78/11,378.16 = 4,080.02/x
  3. Step 3: Cross multiply
    7,592.78x = 11,378.16 × 4,080.02
  4. Step 4: Simplify right side
    7,592.78x = 46,423,120.36
  5. Step 5: Solve for x
    x = 46,423,120.36/7,592.78
  6. Step 6: Final answer
    x = 6,114.11

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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.