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Finding the Fourth Proportional to 7,802.08, 11,691.90 and 3,358.53

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Solution

The fourth proportional to 7,802.08, 11,691.90 and 3,358.53 is: 5,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.08 : 11,691.90 = 3,358.53 : x
  2. Step 2: Convert to fraction form
    7,802.08/11,691.90 = 3,358.53/x
  3. Step 3: Cross multiply
    7,802.08x = 11,691.90 × 3,358.53
  4. Step 4: Simplify right side
    7,802.08x = 39,267,596.91
  5. Step 5: Solve for x
    x = 39,267,596.91/7,802.08
  6. Step 6: Final answer
    x = 5,032.97

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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.