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Finding the Fourth Proportional to 8,741.62, 13,045.24 and 7,807.42

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Solution

The fourth proportional to 8,741.62, 13,045.24 and 7,807.42 is: 11,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.62 : 13,045.24 = 7,807.42 : x
  2. Step 2: Convert to fraction form
    8,741.62/13,045.24 = 7,807.42/x
  3. Step 3: Cross multiply
    8,741.62x = 13,045.24 × 7,807.42
  4. Step 4: Simplify right side
    8,741.62x = 101,849,667.68
  5. Step 5: Solve for x
    x = 101,849,667.68/8,741.62
  6. Step 6: Final answer
    x = 11,651.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.