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Finding the Fourth Proportional to 7,566.72, 11,343.08 and 4,059.16

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Solution

The fourth proportional to 7,566.72, 11,343.08 and 4,059.16 is: 6,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.72 : 11,343.08 = 4,059.16 : x
  2. Step 2: Convert to fraction form
    7,566.72/11,343.08 = 4,059.16/x
  3. Step 3: Cross multiply
    7,566.72x = 11,343.08 × 4,059.16
  4. Step 4: Simplify right side
    7,566.72x = 46,043,376.61
  5. Step 5: Solve for x
    x = 46,043,376.61/7,566.72
  6. Step 6: Final answer
    x = 6,084.98

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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.