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Finding the Fourth Proportional to 7,406.58, 11,102.13 and 3,506.34

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Solution

The fourth proportional to 7,406.58, 11,102.13 and 3,506.34 is: 5,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.58 : 11,102.13 = 3,506.34 : x
  2. Step 2: Convert to fraction form
    7,406.58/11,102.13 = 3,506.34/x
  3. Step 3: Cross multiply
    7,406.58x = 11,102.13 × 3,506.34
  4. Step 4: Simplify right side
    7,406.58x = 38,927,842.50
  5. Step 5: Solve for x
    x = 38,927,842.50/7,406.58
  6. Step 6: Final answer
    x = 5,255.85

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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.