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Finding the Fourth Proportional to 7,494.04, 11,242.66 and 2,877

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Solution

The fourth proportional to 7,494.04, 11,242.66 and 2,877 is: 4,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.04 : 11,242.66 = 2,877 : x
  2. Step 2: Convert to fraction form
    7,494.04/11,242.66 = 2,877/x
  3. Step 3: Cross multiply
    7,494.04x = 11,242.66 × 2,877
  4. Step 4: Simplify right side
    7,494.04x = 32,345,132.82
  5. Step 5: Solve for x
    x = 32,345,132.82/7,494.04
  6. Step 6: Final answer
    x = 4,316.11

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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.