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Finding the Fourth Proportional to 7,741.04, 11,607.96 and 2,810.48

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Solution

The fourth proportional to 7,741.04, 11,607.96 and 2,810.48 is: 4,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.04 : 11,607.96 = 2,810.48 : x
  2. Step 2: Convert to fraction form
    7,741.04/11,607.96 = 2,810.48/x
  3. Step 3: Cross multiply
    7,741.04x = 11,607.96 × 2,810.48
  4. Step 4: Simplify right side
    7,741.04x = 32,623,939.42
  5. Step 5: Solve for x
    x = 32,623,939.42/7,741.04
  6. Step 6: Final answer
    x = 4,214.41

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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.