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Finding the Fourth Proportional to 11,466.60, 17,205.30 and 4,898.40

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Solution

The fourth proportional to 11,466.60, 17,205.30 and 4,898.40 is: 7,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.60 : 17,205.30 = 4,898.40 : x
  2. Step 2: Convert to fraction form
    11,466.60/17,205.30 = 4,898.40/x
  3. Step 3: Cross multiply
    11,466.60x = 17,205.30 × 4,898.40
  4. Step 4: Simplify right side
    11,466.60x = 84,278,441.52
  5. Step 5: Solve for x
    x = 84,278,441.52/11,466.60
  6. Step 6: Final answer
    x = 7,349.91

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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.