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Finding the Fourth Proportional to 7,354.81, 11,032.12 and 3,456.46

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Solution

The fourth proportional to 7,354.81, 11,032.12 and 3,456.46 is: 5,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.81 : 11,032.12 = 3,456.46 : x
  2. Step 2: Convert to fraction form
    7,354.81/11,032.12 = 3,456.46/x
  3. Step 3: Cross multiply
    7,354.81x = 11,032.12 × 3,456.46
  4. Step 4: Simplify right side
    7,354.81x = 38,132,081.50
  5. Step 5: Solve for x
    x = 38,132,081.50/7,354.81
  6. Step 6: Final answer
    x = 5,184.65

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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.