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Finding the Fourth Proportional to 11,342.72, 15,651.88 and 10,506.80

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Solution

The fourth proportional to 11,342.72, 15,651.88 and 10,506.80 is: 14,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.72 : 15,651.88 = 10,506.80 : x
  2. Step 2: Convert to fraction form
    11,342.72/15,651.88 = 10,506.80/x
  3. Step 3: Cross multiply
    11,342.72x = 15,651.88 × 10,506.80
  4. Step 4: Simplify right side
    11,342.72x = 164,451,068.26
  5. Step 5: Solve for x
    x = 164,451,068.26/11,342.72
  6. Step 6: Final answer
    x = 14,498.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.