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Finding the Fourth Proportional to 11,566.40, 17,336.40 and 4,898.72

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Solution

The fourth proportional to 11,566.40, 17,336.40 and 4,898.72 is: 7,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.40 : 17,336.40 = 4,898.72 : x
  2. Step 2: Convert to fraction form
    11,566.40/17,336.40 = 4,898.72/x
  3. Step 3: Cross multiply
    11,566.40x = 17,336.40 × 4,898.72
  4. Step 4: Simplify right side
    11,566.40x = 84,926,169.41
  5. Step 5: Solve for x
    x = 84,926,169.41/11,566.40
  6. Step 6: Final answer
    x = 7,342.49

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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.