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Finding the Fourth Proportional to 11,148, 16,710.52 and 4,906.86

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Solution

The fourth proportional to 11,148, 16,710.52 and 4,906.86 is: 7,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148 : 16,710.52 = 4,906.86 : x
  2. Step 2: Convert to fraction form
    11,148/16,710.52 = 4,906.86/x
  3. Step 3: Cross multiply
    11,148x = 16,710.52 × 4,906.86
  4. Step 4: Simplify right side
    11,148x = 81,996,182.17
  5. Step 5: Solve for x
    x = 81,996,182.17/11,148
  6. Step 6: Final answer
    x = 7,355.24

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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.