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Finding the Fourth Proportional to 7,803.63, 11,711.09 and 3,060.50

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Solution

The fourth proportional to 7,803.63, 11,711.09 and 3,060.50 is: 4,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.63 : 11,711.09 = 3,060.50 : x
  2. Step 2: Convert to fraction form
    7,803.63/11,711.09 = 3,060.50/x
  3. Step 3: Cross multiply
    7,803.63x = 11,711.09 × 3,060.50
  4. Step 4: Simplify right side
    7,803.63x = 35,841,740.04
  5. Step 5: Solve for x
    x = 35,841,740.04/7,803.63
  6. Step 6: Final answer
    x = 4,592.96

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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.