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Finding the Fourth Proportional to 11,097.71, 16,646.40 and 2,777.69

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Solution

The fourth proportional to 11,097.71, 16,646.40 and 2,777.69 is: 4,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.71 : 16,646.40 = 2,777.69 : x
  2. Step 2: Convert to fraction form
    11,097.71/16,646.40 = 2,777.69/x
  3. Step 3: Cross multiply
    11,097.71x = 16,646.40 × 2,777.69
  4. Step 4: Simplify right side
    11,097.71x = 46,238,455.58
  5. Step 5: Solve for x
    x = 46,238,455.58/11,097.71
  6. Step 6: Final answer
    x = 4,166.49

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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.