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Finding the Fourth Proportional to 11,950.76, 16,492.74 and 7,235.48

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Solution

The fourth proportional to 11,950.76, 16,492.74 and 7,235.48 is: 9,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.76 : 16,492.74 = 7,235.48 : x
  2. Step 2: Convert to fraction form
    11,950.76/16,492.74 = 7,235.48/x
  3. Step 3: Cross multiply
    11,950.76x = 16,492.74 × 7,235.48
  4. Step 4: Simplify right side
    11,950.76x = 119,332,890.42
  5. Step 5: Solve for x
    x = 119,332,890.42/11,950.76
  6. Step 6: Final answer
    x = 9,985.38

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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.