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Finding the Fourth Proportional to 11,307.52, 16,950 and 5,460.92

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Solution

The fourth proportional to 11,307.52, 16,950 and 5,460.92 is: 8,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.52 : 16,950 = 5,460.92 : x
  2. Step 2: Convert to fraction form
    11,307.52/16,950 = 5,460.92/x
  3. Step 3: Cross multiply
    11,307.52x = 16,950 × 5,460.92
  4. Step 4: Simplify right side
    11,307.52x = 92,562,594
  5. Step 5: Solve for x
    x = 92,562,594/11,307.52
  6. Step 6: Final answer
    x = 8,185.93

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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.